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Tutors Answer Your Questions about Money Word Problems (FREE)
Question 241518: P dollars invested at interest rate r compounded annually for 5 years increases to an amount A = P(1 + r)^5. If an investment of $1000 is to increase to an amount greater than $1400 in 5 years, then the interest rate must be greater than what percentage?
Answer by josmiceli(3013)   (Show Source):
Question 241474: Find the original price it there is a 15% discount and the sale price is $255
Answer by josmiceli(3013) (Show Source):
Question 241447: Mardi recieved an inheritance of $70,000. She invested part at 12% and the rest at 9%. Her total annual income from the investments was $8100. Find the amount she invested at 12%.
Answer by texttutoring(36)  (Show Source):
You can put this solution on YOUR website!You have two unknowns (the amounts invested at each rate), so you need two equations.
Step 1: State your unknowns:
x = amount of $ invested at 12%
y = amount of $ invested at 9%
Step 2: Set up your equations:
Eqn. 1: x+y=70000
Eqn. 2: 0.09*x + 0.12*y = 8100
Step 3: Isolate for y in Eqn. 1:
y = 70000-x
Step 4: Plug this value for y into Eqn. 2, and then collect terms to isolate for x:
0.09*x + 0.12*y = 8100
0.09*x +0.12(70000-x) = 8100
0.09*x +0.12*70000 – 0.12*x = 8100
8400 – 0.03x = 8100
8400 - 8100 – 0.03x = 8100 - 8100
8400 - 8100 – 0.03x = 0
300 = 0.03x
x = 10000
Step 5: Now substitute this back into Eqn. 1 to find y:
y = 70000 – x
y = 70000 – 10000
y = 60000
So the two amounts invested are $10000 at 9% and $60000 at 12%.
Question 241324: 1. Sajid has a goal of saving $20 000 in 8 years. What principal invested for 5 years at 6% per annum, compounded semi-annually, then for the next 3 years at 6.5%/a, compounded quarterly, would achieve this goal?
Answer by josmiceli(3013) (Show Source):
You can put this solution on YOUR website!The formula is
For 5 year investment:
 yrs
 (semi-annually)
------------------------
For 3 year investment:
 (quarterly)
------------------------------
If I read the problem right,  , the earnings
after 5 years, will become  , the principle
invested for 3 years
given:
--------------------
substituting:
and
The original principle invested is $12,264.76
Hope I got it right
Question 241094: A salesman sold $300 more than the rest of the sales staff combined. If the sales total for the day was $2500, then how much did the rest of the sales staff sell?
x+300=2500
x=2200
Answer by nerdybill(2448)  (Show Source):
You can put this solution on YOUR website!A salesman sold $300 more than the rest of the sales staff combined. If the sales total for the day was $2500, then how much did the rest of the sales staff sell?
.
Let x = amount "rest of sales staff sold"
then
x+300 = amount "salesman sold"
.
"rest of sales staff sold" + "salesman sold" = total sales
x + (x+300) = 2500
2x + 300 = 2500
2x = 2200
x = $1100
Question 240906: okay my problem reads " find the annual interest from a saving account containing $148 and bearing 6% simple interest." whats the answers..
Answer by checkley77(7072) (Show Source):
Question 240845: A total of 14000 dollars is invested in two simple interest baring accounts. One acccount has an interest rate of 8% and the other a rte of 5.5%. The amount of interest earned for 1 year was 982.50. How much was invested in each account?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.08x+.055(14,000-x)=982.50
.08x+770-.055x=982.50
.025x=982.50-770
.025x=212.5
x=212.50/.025
x=8,500 amount invested @ 8%.
14,000-8,500=5,500 amount invested @ 5.5%
Proof:
.08*8,500+.055*5,500=982.50
680+302.50=982.50
982.50=982.50
Question 240846: One week a business sold 40 scarves. White ones cost $4.95, and printed ones cost $7.95. In all,$282 worth of scarves were sold. How many of each kind were sold?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!w+p=40 or w=40-p
4.95w+7.95p=282
4.95(40-p)+7.95p=282
198-4.95p+7.95p=282
3p=282-198
3p=84
p=84/3
p=28 printed scarves were sold.
40-28=12 white scarves were sold.
Proof:
4.95*12=7.95*28=282
59.4+222.6=282
282=282
Question 240847: you inherit $13000.00 and decide to invest the money in two different investments; one paying 10% and the other 14%. a year later they earn $1580. how much do you originally invewst in each account.
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.14x+.10(13,000-x)=1,580
.14x+1,300-.10x=1,580
.04x=1,580-1,300
.04x=280
x=280/.04
x=7,000 amount invested @ 14%.
13,000-7,000=6,000 amount invested @ 10%.
Proof:
.14*7,000+.10*6,000=1,580
980+600=1,580
1,580=1,580
Question 240600: ms. Jones invested 18,000 in two accounts. One account pays 6 % simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account
can anyone help me find the answer with a full break down
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!ms. Jones invested 18,000 in two accounts. One account pays 6 % simple interest and the other pays 8%. Her total interest for the year was $1,290. How much did she have in each account
-------------------------
Equation:
Quantity: x + y = 18000
Interest:0.06x + 0.08y = 1290
--------------------------------------
Multiply the Quantity Eq. by 6
Multiply the Interest Eq. by 100
6x + 6y = 108000
6x + 8y = 129000
----------------------------------------
Subtract the 1st equation from the 2nd and solve for "y":
2y = 21000
y = 10500 (amount invested at 8%)
---------------------
Since x+y= 180000, x = 7500 (amount invested at 6%)
====================================
Cheers,
Stan H.
Question 240567: Ms. Kork sold her car for $8,700.
This was $100 more than two fifths
of what she had paid for the car
originally. How much had Ms. Kork
paid for the car?
Answer by rfer(2688) (Show Source):
Question 240411: A cashier has only five-dollar and twenty-dollar bills in her register. If the register contains 19 bills worth $215, how many five-dollar bills does she have?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!T+F=19 OR T=19-F
20T+5F=215
20(19-F)+5F=215
380-20F+5F=215
-15F=215-380
-15F=-165
F=-165/-15
F=11 FIVE DOLLAR BILLS.
19-11=8 20 DOLLAR BILLS.
PROOF:
20*8+5*11=215
160+55=215
215=215
Question 239478:
Scientific notation for 2002 sales of $58,200,000,000 and 2006 sales of
$90,800,000,000 and percentage of growth?
thank you, Helen
Answer by checkley77(7072) (Show Source):
Question 239280: Little Johnny invested $10,000. He put part of it in a bank at 5 percent interest. He put the remainder in bonds which pay a 9 percent annual return. How much did he invest in each method (savings bank and bond) if his annual income from the two investments was $660?
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!Little Johnny invested $10,000. He put part of it in a bank at 5 percent interest. He put the remainder in bonds which pay a 9 percent annual return. How much did he invest in each method (savings bank and bond) if his annual income from the two investments was $660?
-------------------------------------------------
Equation:
Quantity Eq::: x + y = 10000
Interest Eq::0.05x+0.09y = 660
------------------------
Multiply thru the 1st equation by 5:
Multiply thru the 2nd equation by 100:
5x + 5y = 50000
5x + 9y = 66000
--------------------
Subtract the 1st from the 2nd and solve for "y":
4y = 16000
y = $4000 (amount invested at 5%)
---
Since x+y = 10000, x = $6000 (amount invested at 9%)
==========================================================
Cheers,
Stan H.
Question 239116: A bank charges its customers a general fee of $6 per month plus an additional fee of 10 cents per check written from a checking account. Over the past nine months, a customer was charged $62 in service fees. How many checks did the customer write during that period?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!9*6+.10x=62
54+.10x=62
.10x=62-54
.10x=8
x=8/.10
x=80 checks were written during the 9 months.
Proof:
9*6+.10*80=62
54+8=62
62=62
Question 239006: SEED MIXTURE: a nursery has one kind of grass seed selling at 75 cents per pound and another kind of grass seed selling at $1.10 per pound. How many pounds of each kind should be mixed to produce 50 pounds of a mixture of seed that will sell for 90 cents a pound. I cannot figure out how to work this problem your help would be much appreciated.
Answer by scott8148(3385)  (Show Source):
Question 238992: a bank offers two checking plans. The anywhere plan charges 30 cents per check. Th Accucheck plan costs $1.12 a month, plus 22 cents per check. For what number of checks will the Accucheck plan costs less than the Anywhere plan?
Answer by nerdybill(2448) (Show Source):
You can put this solution on YOUR website!a bank offers two checking plans. The anywhere plan charges 30 cents per check. Th Accucheck plan costs $1.12 a month, plus 22 cents per check. For what number of checks will the Accucheck plan costs less than the Anywhere plan?
.
Strategy: determine where the two plans costs the same.
.
Let x = number of checks written
then
.30x = .22x + 1.12
.08x = 1.12
x = 1.12/.08
x = 14
.
Solution:
Accucheck plan costs less when you write MORE than 14 checks per month.
Question 238927: Find a counterexample to the statement: The square of a number added to the sum of twice the number and 8 is a prime number.
Answer by Alan3354(6097)  (Show Source):
Question 238851: A vending machine accepts nickles, dimes and quarters. When the coins are emptied, the total value of the coins is found to be $24.15. Find the number of coins of each kind in the box, if there are twice as many nickles as quarters and 5 more dimes than nickels.
when solved can u show me the formula and the exact steps you took to solve it.. THANKS.
Answer by ankor@dixie-net.com(6693)  (Show Source):
You can put this solution on YOUR website!A vending machine accepts nickles, dimes and quarters.
When the coins are emptied, the total value of the coins is found to be $24.15.
Find the number of coins of each kind in the box, if there are twice as many nickles as quarters and 5 more dimes than nickels
:
.05n + .10d + .25q = 24.15
:
n = 2q
or
q = .5n
and
d = (n+5)
:
Now substitute (n+5) for d, and .5n for q in the Total$ equation, solve for n.
.05n + .10(n+5) + .25(.5n) = 24.15
:
Then use the above equations to find d and q.
:
Check your total in the original equation
Question 238853: An employee's new annual salary is 36,516, which include a 5% pay raise and a 2.4% cost-of-living allowance. What was the employee's orginal salary?
Answer by checkley77(7072) (Show Source):
Question 238414: A candy storesells boxes of candy containing caramels and
crèmes. Each box sells for $12.50 & holds 30
pieces of candy (all pieces are same size). If
caramels cost $0.25 to produce & crèmes cost
$0.45 to produce, how many of each should be
in a box to make a profit of $3?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.45X+.25(30-X)=12.50-3.00
.45X+7.5-.25X=9.50
.20X=9.50-7.50
.20X=2
X=2/.2
X=10 CREMES ARE USED.
30-10=20 CARAMELS ARE USED.
.45*10+.25*20=9.50
4.50+5=9.50
9.50=9.50
Question 238405: A pharmacist mixed some 10%-saline solution with with some 15%-saline solution to obtain 100ml of a 12%-saline solution. How ,uch of the 10%-saline did the pharmacist use in the mixture? .10x+.15y=.12 x+y=100
Answer by Fombitz(2113)  (Show Source):
Question 238477: How much would $140 invested at 6% interest compounded annually be worth after 15 years?
Answer by checkley77(7072) (Show Source):
Question 238484: .10x+.15y=.12
x+y=100
Answer by Fombitz(2113) (Show Source):
You can put this solution on YOUR website!Multiply the first eq. by 100 to get rid of fractions.
10x+15y=12
x+y=100
Multiply the second eq. by -10 and add to the first to get rid of x.
10x+15y=12
-10x-10y=-1000
5y=-988
y=-988/5
Then from
x+y=100
x-988/5=500/5
x=1488/5
Question 238259: if jake had 5,000 to invest and he put part of it an a cd paying 5% interest and the rest in a bond paying 8% interest. After 1 year, he earned $140 more from the bond than from the cd. how much did he put in each investment
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.08X=.05(5000-X)+140
.08X=250-.05X+140
.08X+.05X=390
.13X=390
X=390/.13
X=3,000 AMOUNT INVESTED IN THE 8% BOND.
5,000-3,99=2,000 AMOUNT INVESTED IN THE 5% CD.
PROOF:
.08*3,000=.05*2,000+140
240=100+140
240=240
Question 238264: a triangle has a perimeter of 54 inches. find the length of the three sides if one side is 10 inches longer than the smallest and the third side is twice the smallest.
Found 2 solutions by stanbon, alicealc:
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!a triangle has a perimeter of 54 inches. find the length of the three sides if one side is 10 inches longer than the smallest and the third side is twice the smallest.
----------------------
Let the smallest be "x".
The 2nd side is "x+10"
The 3rd side is "2x"
----------------------------
Equation:
x + x+10 + 2x = 54
4x + 10 = 54
4x = 44
x = 11
---------------
smallest = 11 inches
2nd = 11+10 = 21 inches
3rd = 2x = 22 inches
===================================
Cheers,
Stan H.
Answer by alicealc(98) (Show Source):
You can put this solution on YOUR website!first side (smallest) = x
second side = 10 + x
third side = 2x
perimeter = 54
x + 10 + x + 2x =54
4x + 10 = 54
4x = 54 - 10
4x = 44
x = 44/4
x = 11
so, the three sides of the triangle will be: 11 inches, 21 inches,and 22 inches
Question 238081: I can't do two questions.
First is "Finance. Find the tripling time (To the next whole year) for money invested at 15% compounded annually."
Second is "Finance. Find the doubling time (to two decimal places) for money invested at 10% compounded continuously."
I very need help with this problem.
Thank alot.
Answer by Theo(675)  (Show Source):
You can put this solution on YOUR website!money invested at 15% a year compounded annually is solved using the following formula.
FV = PA * (1+i/c)^(n*c)
where:
FV = future value
PA = present amount
i = annual interest rate
c = number of compounding periods per year
n = number of years.
in your problem:
FV is equal to 3.
PA is equal to 1.
i = 15% per year / 100% = .15
c = 1
n = what you want to find.
your equation becomes:
3 = 1 * (1.15)^n
this becomes:
3 = 1.15^n
take the log of both sides of this equation to get:
log(3) = log(1.15^n)
since log(x^a) = a*log(x), this means that your equation becomes:
log(3) = n*log(1.15)
divide both sides of this equation by 1.15 to get:
n = log(3)/log(1.15) = 7.860596884
the money will triple in 7.860596884 years.
put this value into your original equation to get:
3 = 1.15^7.860596884 = 3
answer is confirmed.
it would take 8 years if your round up to the next whole years.
your second problem is done as follows:
find the doubling time.
continuous compounding is a different formula.
that formula is:
FV = PA * e^(r*n)
where:
FV = future value
PA = present amount
e = scientific constant of 2.718281828...
r = annual interest rate
n = number of years.
in your equation:
FV = 2
PA = 1
e = 2.718281828 (always)
r = 10% / 100% = .1
n = what you want to find.
your equation becomes.
2 = 1 * e^(.1*n)
this equation becomes:
2 = e^(.1*n)
take the log of both sides of this equation to get:
log(2) = log(e^(.1*n))
since log (x^a) = a*log(x), your equation becomes:
log(2) = .1*n*log(e)
divide both sides by log(e) * .1 to get:
log(2)/log(e) / .1 = n which is the same as:
n = log(2)/log(e) / .1
solve for n to get:
n = 6.931471806
your money will double in 6.931471806 years
plug this into your original equation to get:
2 = e^(6.931471806*.10) = 2
round up to the nearest year and you get 7 years to double your money using continuous compounding.
check these lessons out to see what this is all about.
continuous compounding formulas
discret compounding formulas
Question 238107: After what time will the interest on a certain sum of money at 10% per annum be half of the initial amount?
Answer by solver91311(5072)  (Show Source):
You can put this solution on YOUR website!
Impossible to tell. It could be tomorrow, or it could be never. It depends on the rate at which the money is repaid. Tell us the whole problem and perhaps we can help.
John
Question 237065: lizzie bought several apples at 20 cents each, ate 2 of them and sold the rest for 30 cents each. She made a profit of 2.20. How many did she buy
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!Bought apples at 20 cents each
Ate two of them
Made a profit of $2.20
How many did she buy?
:
Let x = no. of apples she bought
then
(x-2) = no. of apples she sold
;
Sale$ - cost = profit
.30(x-2) - .20x = 2.20
.30x - .60 - .20 = 2.20
.30x - .20x = 2.20 + .60
.10x = 2.80
x = 
x = 28 apple she originally bought
:
:
Check solution
.30(26) - .20(28) =
7.80 - 5.60 = 2.20
Question 237755: A PERSON WINS A $60 MILLLION LOTTERY, THEY RECEIVE $1 MILLION FOR THE NEXT 50 YEARS PLUS AN ADDITIONAL LUMP SUM PAYMENT OF $10 MILLION AFTER 50 YEARS. THE DISCOUNT RATE IS 10%. WHAT IS THE CURRENT VALUE OF THE WINNINGS?
Answer by Theo(675) (Show Source):
You can put this solution on YOUR website!$10 million in 50 years is worth about $85,185 today.
Present worth of $1 million annual payments compounded at 10% annually over the next 50 years is worth $9,914,814 today.
The combined value today would be worth $9,829,629.
That's 9 million 829 thousand 629 dollars.
That amount of money, if invested for the next 50 years at 10% interest compounded annually, would be worth $1,153,908,589.
That's 1 billion 153 million 908 thousand 589 dollars.
The present worth of future money assumes that the money can be invested at the discount rate.
$10 million doesn't sound like a lot today, but in 50 years it sure adds up to a lot of money if invested at the discount rate.
Question 237186: solve the following equation
4/y-5 = 5/2y
Answer by cowgirl30(8) (Show Source):
Question 237159: an investment advisor invested 12000 into two accounts. one investment earned 7 % annual simple interest and the other investment earned 6.5% annual simple interest. the amount of interest for 1 year was 820. How much was invested at 6.5 %
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.07X+.065(12,000-X)=820
.07X+780-.065X=820
.005X=820-780
.005X=40
X=40/.005
X=8,000 AMOUNT INVESTED @ 7%.
12,000-8,000=4,000 AMOUNT INVESTED @ 6.5%
PROOF:
.07*8,000+.065*4,000=820
560+260=820
820=820
Question 237175: a wool siut iscounted by 30% for clearance sale has a price of 399 whats the suit original price?
Found 2 solutions by stanbon, rfer:
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!A wool suit is discounted by 30% for clearance sale has a price of 399 what is the suit's original price?
------------------
Let the original price be "x"
---
Equation:
0.70x = 399
x = 399/0.7
---
x = $570
------------------
Cheers,
Stan H.
Answer by rfer(2688) (Show Source):
Question 237157: an invested 12000 i two accounts. one investment earned 7 % annual simple interest and the other investment earned 6.5% annual simple interest. the amount of interest for 1 year was 820. How much was invested at 6.5 %
Answer by rfer(2688) (Show Source):
Question 237142: a doughnut shop has a fixed cost of $124 per day and a variable cost of $.12 per doughnut. Find the daily cost of producing x doughnuts? how many dougnuts can be produced for a total daily cost of $250?
Answer by rfer(2688) (Show Source):
Question 237067:
Answer by unlockmath(121)  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's start with X being the number of nickels
X-3 will be the number of dimes
X+4 will show the number of quarters
and we know there are 37 coins, so we can put this into an equation like this:
x + x-3 + x+4 = 37 Combine like terms
3x + 1 = 37 Subtract 1 from both sides will give you:
3x = 36 therefore
x = 12 Plug 12 into the above and you see theres are:
12 nickels = 60 cents
9 dimes = 90 cents
16 quarters =$4.00 This totals
$5.50
RJ Toftness
www.math-unloc.com
Question 236488: if i invest $25,000 for 6 years at 7% how much will i earn quartly, annuall, simi annualy, and continual
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!25,000(1+.07/4)^6*4
25,000(1+.0175)^24
25,000(1.0175)^24
25,000*1.51644=37,911.07 ans. for quarterly interest.
25,000(1+.07)^6
25,000(1.07)^6
25,000*1.50073=37,518.26 ans. for annual interest.
25,000(1+.07/2)^6*2
25,000(1.035)^12
25,000*1.51107=37.776.72 ans. for semi-annual investment.
25,000e^.07*6
25,000*2.7182^.42
25,000*1.5210=38,048.56 ans. for continual interest.
Question 236157: Layoffs looming. American Products plans to layoff 10% of its employees in its aerospace division and 15% of its employees in its agricultural division. If altogether 12% of the 3000 employees in these two divisions will be laid off, then how many employees are in each division?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!x+y=3,000 or x=3,000-y
.10x+.15y=.12*3000
.10(3,000-y)+.15y=.12*3,000
300-.10y+.15y=360
.05y=360-300
.05y=60
y=60/.05
y=1,200 layed off in the agricultural div.
x=3,000-1,200=1,800 layed off in the aerospace div.
Proof:
.10*1,800+.15*1,200=12*3000
180+180=360
360=360
Question 236200: Doris invested some money at 7% and some at 8%. She invested $6000 more at 8% then at 7%. Her total yearly interest from both investments was $1080, how much did she invest at each rate?
Answer by checkley77(7072) (Show Source):
You can put this solution on YOUR website!.08(x+6,000)+.07x=1,080
.08x+480+.07x=1,080
.15x=1,080-480
.15x=600
x=600/.15
x=4,000 amount invested @ 7%.
4,000+6,000=10,000 invested @ 8%.
Proof:
.08*10,000+.07*4,000=1,080
800+280=1,080
1,080=1,080
Question 236060: You are selling cookies in school souvenir mugs to raise money for your school. You are taking orders so that you know how many mugs you will need to buy. There will be 6 cookies in a mug that will sell for $3.95 per order. You spent $50 on the ingredients to make the cookies plus you will need to pay $1.45 per mug. At least how many orders do you have to take so that you make more than what you spend?
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!You are selling cookies in school souvenir mugs to raise money for your school. You are taking orders so that you know how many mugs you will need to buy. There will be 6 cookies in a mug that will sell for $3.95 per order. You spent $50 on the ingredients to make the cookies plus you will need to pay $1.45 per mug. At least how many orders do you have to take so that you make more than what you spend?
-------------------
Income: $3.95x where x is the number of cups you sell.
-------------
Overhead: $50+1.45x
------------------------
Inequality:
solve 3.95x > 50 + 1.45x
2.50x > 50
x > 20 (# of orders you need to take to make a profit)
=========================================================
Cheers,
Stan H.
Question 235929: A commonly asked question is, “How long will it take to double my money?” At 7% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
Answer by stanbon(26296) (Show Source):
You can put this solution on YOUR website!A commonly asked question is, “How long will it take to double my money?” At 7% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
A(t) = Pe^(rt)
----
If P is doubled you get:
2P = Pe^(rt)
e^(rt) = 2
---
Take the natural log of both sides:
rt = ln(2)
t = [ln(2)]/r
t = [ln(2)]/0.07
t = 9.9 years (time to double the money at 7% interest compouded continuously)
====================================================
Cheers,
Stan H.
Question 235395: Mary, Megan, and Molly sold magazine subscriptions to raise money for playground equipment/ Megan sold 9 more subscriptions than Mary. Molly sold 3 less than twice as many subscribtions as mary. If together they sold a total of 66 magazine subscriptions, how many subscriptions did each girl sell?
Answer by ankor@dixie-net.com(6693) (Show Source):
You can put this solution on YOUR website!Mary, Megan, and Molly sold magazine subscriptions to raise money for playground equipment/
:
Write an equation for each statement:
:
Megan sold 9 more subscriptions than Mary.
Me = Ma + 9
:
Molly sold 3 less than twice as many subscriptions as Mary.
Mo = 2Ma - 3
:
If together they sold a total of 66 magazine subscriptions,
Ma + Me + Mo = 66
:
how many subscriptions did each girl sell?
:
In the above equation: Replace Me with (Ma+9); and replace Mo with (2Ma-3)
Ma + (Ma+9) + (2Ma-3) = 66
Ma + Ma + 2Ma + 9 - 3 = 66
4Ma + 6 = 66
4Ma = 66 - 6
4Ma = 60
Ma = 60/4
Ma = 15 Sold by Mary
:
I'll let you find Mo and Me
Question 235795: The audio outlet purchased 60 cassette recorders, gave away three in a contest, and sold the rest of at twice their purchase price. If the store's total profit was $1188, how much did the store sell each recorder for
Answer by nyc_function(260)  (Show Source):
You can put this solution on YOUR website!60 - 3 = 57
1188/57 = $20.84
If you're looking for the original purchase price, you'd just divide by 2.
Each cassette was sold for $20.84 cents.
THE PROVE:
57 cassettes at $20.84 each = $1187.88, which can be rounded to the nearest unit to become $1188 (the profit made by the store).
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