Questions on Algebra: Percentage and Pie Charts answered by real tutors!

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Tutors Answer Your Questions about percentage (FREE)


Question 614523: The number of papers increased from 70 to 280. What percentage increase is this?
Please give the RIGHT answer!!!! Thanks!

Answer by stanbon(50470) About Me  (Show Source):
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The number of papers increased from 70 to 280. What percentage increase is this?
----
Quantitative increase: 280-70 = 210
Percent increase: 210/70 = 3 = 300%
==================================
Cheers,
Stan H.


Question 614493: HELP
TELL ME!!!!
One hundred eighty percent of what number is 45?




Answer by solver91311(13359) About Me  (Show Source):
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Let represent your number. Then . Solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 614328: 120 is 45% of what number?
can you please include the formula so I can teach my daughter this please. thank you,lorraine

Answer by Earlsdon(6215) About Me  (Show Source):
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Let n = the missing number.
Change to 45% to its decimal equivalent. 45% = 0.45, then:
120+=+0.45n Divide both sides by 0.45
120%2F0.45+=+0.45n%2F0.45
266.67+=+n so...
120 is 45% of 266.667


Question 614257: a fund drive announces that it has raise $3,348, which is 60% of its goal. How much more must be raised?
Answer by rfer(10941) About Me  (Show Source):
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3348/0.6-3348=$2232


Question 614134: What % of 560 is 224
Answer by vleith(2574) About Me  (Show Source):
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%28%28Part%29%2F%28Whole%29+%29+%2A+100 is percent
%28224%2F560%29%2A+100
0.4+%2A+100+=+40%


Question 614135: 10% of what is 32
Answer by vleith(2574) About Me  (Show Source):

Question 614126: How many pounds of water must be added to 48 pounds of alcohol to make a solution that is 25 percent alcohol?
Answer by math33(16) About Me  (Show Source):

Question 614103: A solution is 27 gallons of acid contains 9 gallons of pure acid. How much water, in gallons, should be added to produce a 25 percent solution of this acid?
A) 6 3/4
B)9
C)15 3/4
D)18
E)27

Answer by solver91311(13359) About Me  (Show Source):
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Same as the problem about copper and tin. Do it the same way.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 614099: A certain grade of gun metal( a mixture of tin and copper) contains 16 percent tin. How much tin, in pounds, must be added to 410 pounds of this gun metal to make a mixture that is 18 percent tin?
A)5
B)6.5
C)7
D)8
E)10

Answer by solver91311(13359) About Me  (Show Source):
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Same as the problem about copper and tin, just different numbers. Do it the same way.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 614094: An alloy of copper and tin is 20 percent copper. How many pounds of copper must be added to 20 pounds of the alloy in order for the resulting alloy to be 50 percent copper?
A)6
B)12
C)12.5
D)13
E)14

Answer by solver91311(13359) About Me  (Show Source):
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In 20 lbs of 20% copper alloy there are 0.2 * 20 = 4 lbs of pure copper. If you add lbs of pure copper, you will have pounds of 50% alloy, of which is pure copper. Since you started with 4 lbs of pure copper, when you are done you will have lbs of pure copper, so:



Solve for

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 613786: Determine if its a growth or decay.Then find the percent increase of decrease.
1.y=16(.25)^x
2.y=0.8(1.28)^x
3.y=17(1/5)^x

Answer by stanbon(50470) About Me  (Show Source):
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Determine if its a growth or decay.Then find the percent increase of decrease.
1.y=16(.25)^x
Decrease because higher powers of 0.25 are smaller than 0.25
-----------------------------
2.y=0.8(1.28)^x
Increase because higher powers of 1.28 are bigger than 1.28
-----------------------------
3.y=17(1/5)^x
Decrease because higher powers of (1/5) are smaller than 1/5.
====================================
Cheers,
Stan H.
=============================


Question 613554: What is the currency amount of 33 1/3% of 18000.00?

Answer by richwmiller(8278) About Me  (Show Source):
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33 1/3%=1/3
18000.00/3=6000.00


Question 613525: what is the percent of increase from 45 to 70
Answer by edjones(7481) About Me  (Show Source):
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70/45=1.55555556
1-1.55555556=0.555556
=55.56% percent of increase
.
Ed


Question 613009: what is a 2% sales discount of 350$ ?
pbarnar1@my.chemeketa.edu

Answer by Alan3354(23878) About Me  (Show Source):
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what is a 2% sales discount of 350$ ?
-------
2% of $350 = $350*0.02
= $7


Question 612888: 250 is 30% of what ?
Answer by jim_thompson5910(23765) About Me  (Show Source):
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250 is 30% of what ?

250 = 0.3x

250/0.3 = x

833.3333 = x

x = 833.3333

So 250 is 30% of 833.3333


Question 612633: what is the 20% of $192.15 and how?
Answer by stanbon(50470) About Me  (Show Source):
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20% = 20/100 = 0.20
----
what is the 20% of $192.15 and how?
-----
Equation:
0.20*192.15 = 0.20*1.9215 = $38.43
=======================
Cheers,
Stan H.
=======================


Question 612455: What is 765% rounded to the nearest tenth percent

Answer by Alan3354(23878) About Me  (Show Source):
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What is 765% rounded to the nearest tenth percent
--------
765% is the nearest 1/10 %


Question 612108: I have a question is my math workbook:
What is three fourths (3/4) expressed as a percentage?
A. 0.75%
B. 75%
Which is correct? I mean is this a "trick question"????

Answer by Judi99(1) About Me  (Show Source):
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The correct answer is B.


Question 611640: what percent of 92 is 63
Answer by solver91311(13359) About Me  (Show Source):
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Solve for then multiply by 100 and add a % sign.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 611634: What is 1 and 1/2 expressed as a percentage.
Answer by solver91311(13359) About Me  (Show Source):
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1 is 100% and 1/2 is 50%, so...

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 54687: John Roberts has $42,180.53 in a brokerage account, and he plans to contribute an additional $5,000 to the account at the end of every year. The brokerage account has an expected annual return of 12 percent. If John's goal is to accumulate $250,000 in teh account, how many years will it take for John to reach his goal?
Answer by gromo(1) About Me  (Show Source):
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The $5,000 is considered an annuity for which we want to find the FV; while the $42,180.53 is a lump sum for which we also want to find the future value after n number of years.
Therefore, the sum of the FV of the annuity & the future value of the lump sum should be $250,000 after n number of years.
To find the FV of an annuity:

FV= c*((1+r)^n-1)/r
= 5000*(1.12^n-1)/0.12
To find the FV of a lump sum:

FV= c*(1+r)^n
= 42180.53*(1.12)^n
Now:
$250,000 = 5000*(1.12^n-1)/0.12 + 42180.53*(1.12)^n
Since calculations are complicated, I have used excel to answer the problem, but you can use a financial calculator as follows:
Using your financial calculator, enter the following data: I = 12;
PV = -42180.53; PMT = -5000; FV = 250000; N = ? Solve for N = 11. It will take
11 years for John to accumulate $250,000.


Question 611309: If I= Prt and p = 160, r = .06, t = 3/12, then I
Answer by ewatrrr(7340) About Me  (Show Source):
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Hi,
I= Prt and p = 160, r = .06, t = 3/12
substituting the values Given:
I = 160·.06·(1/4) = 40·.06 = $2.40


Question 611171: write each percent in decimal form and in fraction from? 47% 15.5% 33% 0.5%
Answer by ewatrrr(7340) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
write each percent in decimal form and in fraction form:
Note: GRREat exercise as % form is not usable for doing arithmetic operations
47% ||.47 and 47/100
15.5% || .155 and (15 1/2)/100 OR %2831%2F2%29%2F100+=+31%2F200
33% ||.33 and 33/100
0.5% ||.05 and 5/100


Question 610986: Can you please help me with this? Help with one and I should beable to finish my other questions on my homework. Please and Thank You!
The author of a book was told that he would have to cut the number of pages by 24% for the book to sell at a popular price and still make a profit.
Step One: If these cuts were made, what percent of the origional number of pages was in the final version?
Step Two: If the finished book contained 283 pages, how many pages were in the original form?
Step Three: If the finished book contained 283 pages, how many pages were cut?

Answer by KMST(893) About Me  (Show Source):
You can put this solution on YOUR website!
There are many ways to solve a problem. I believe this is the simplest way, and I think simpler is better. The three steps, as given in the problem, suggest the approach I'm using.

Step One:
100% - 24% = 76%
Cutting the number of pages by 24% leaves 76% of the original number of pages.

Step Two:
If the finished book contained 283 pages, then those 283 pages are 76% of the original number of pages.
How many pages were in the original form of the book?
It was a number that multiplied by 0.76 or 76%2F100 or 76% resulted in 283. (The expressions 0.76, 76%2F100 and 76% are different ways to express the same number, or ratio, or percentage).
If you are in Algebra or Pre-algebra class, you would say that the book had x pages originally and it was cut down to
0.76%2Ax=283 pages, so x=283%2F0.76= about 372
If you are in 5th grade, you are so smart that you do not need any x to know that the answer is 283 divided by 0.76.
Actually, the result of the division was about 372.37, but we need a whole number of pages. Rounding gives us 372, so I would go with 372. That is the simpler answer, and I am betting that it is the expected answer.
However, 76% of 372 pages is 282.72, and 283 pages would be a little more than 76% of 372 pages. If your teacher (or textbook) likes more complicated calculations/answers, they may prefer 373 pages as the original length of the book.

Step Three:
If the finished book contained 283 pages, how many pages were cut?
If 372 pages were reduced to 283, the number of pages cut was
372 pages - 283 pages = 89 pages.
We could also calculate 24% of 372 as 372 times 0.24 = 89.28, but that's a harder, more complicated calculation. (And it hints that we should have cut more than 89 pages, making us doubt the simpler answer).

NOTE: If you like to argue for more complicated answers, just choose 373 pages as the original length and you would have cut 90 pages, which is about 24.1% of 373.


Question 610854: A store has a sign saying,"15% off all jackets." Kenny wants to buy a leather jacket that has a regular price of $360.00. About how much will Kenny save?

Answer by jim_thompson5910(23765) About Me  (Show Source):
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He will save 0.15*360 = $54
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If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
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Question 610723: How many sixteenths are there in 87 1/2%?
A)7
B)14
C)3.5
D)13
E)15

Answer by Alan3354(23878) About Me  (Show Source):
You can put this solution on YOUR website!
How many sixteenths are there in 87 1/2%?
A)7
B)14
C)3.5
D)13
E)15
----------------
87.5% = 87.5/100 = 7/8
7/8 = 14/16


Question 610402: The population of a city was 63,900 in 1955, an increase of 6.5 percent over a previous census. By how many persons did the population increase between these periods?
A)3,900
B)59,747
C)60,000
D)67,800
E)68,153

Answer by flame8855(413) About Me  (Show Source):

Question 610356: A shopkeeper is offering furniture for $2100 which is the 30% discount off the sale price. Find out the regular price.
Answer by flame8855(413) About Me  (Show Source):
You can put this solution on YOUR website!
2100 = x -0.3x = 0.7x
x = 3000


Question 610068: What is 2% of $6000.00 ?
Answer by flame8855(413) About Me  (Show Source):
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0.02 * 6000 = 120


Question 609942: Help me plz!!!!!!!!!! my school tuition is $2,500 and i have to come up with 33% of the bill inorder to be on a defered payment plan how much money should i save up for? and how much money would be due for the 67% balance of my tuition
Answer by jim_thompson5910(23765) About Me  (Show Source):
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33% of 2500 is 0.33*2500 = 825 dollars

67% of 2500 is 0.67*2500 = 1675 dollars


Question 609189: At a certain school, the number of children entering kindergarten increased by 6.7% annually for 5 years, then decreased by 4.2% annually in the next 5 yesrs. If 110 children enrolled in kindergarten at the beginning of this period, how many were enrolled after 10 years?
Answer by jsmallt9(2305) About Me  (Show Source):
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Your problem describes a sequence of percent changes. I find that a simple way to solve these kinds of problems is to use the following equation:
FinalAmt = OriginalAmt * (1 + P)*(1 + P)*(1 + P) ...
where "P" is
  • the decimal equivalent of the percent
  • positive if the change is an increase or negative if the change is a decrease
So for your problem the equation would be:
FinalAmt = 110*(1+0.067)*(1+0.067)*(1+0.067)*(1+0.067)*(1+0.067)*(1+(-0.042))*(1+(-0.042))*(1+(-0.042))*(1+(-0.042))*(1+(-0.042))

At any point now you could use your calculator to get the answer. I am going to simplify the equation a little:
1 + 0.067 = 1.067 and 1 + -0.042 = 0.958 so now the equation is
FinalAmt = 110*1.067*1.067*1.067*1.067*1.067*0.958*0.958*0.958*0.958*0.958

If you are comfortable with exponents we could rewrite the equation as:
FinalAmt = 110%2A1.067%5E5%2A0.958%5E5
which can be rewritten as:
FinalAmt = 110%2A%281.067%2A0.958%29%5E5

I'll leave it up to you to use your calculator on any of the four versions of the equation to get an answer. (Round off your answer to the nearest whole number since we're talking about people and we don't have fractions of people.)


Question 609219: What is 30% of $ 4
Answer by ewatrrr(7340) About Me  (Show Source):
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Hi
30% 'of' $ 4 = .30·$4 = $1.20


Question 609086: last month in the village 125 people were issued a parking ticket.this month only 83 people were issued one.what was the percent reduction from this month to last month in the number of people who were issued a parking ticket
Answer by ewatrrr(7340) About Me  (Show Source):
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Hi
last month in the village 125 people were issued a parking ticket...this month only 83 people
83/125 = .664
Reduction is 1-.664 = .336 or 33.6%
CHECKING our Answer***
.336· 125 = 42 and 125-42 = 83


Question 608551: MY QUestiion IS ON A SEPERATE SHEET OF PAPER MAN AN ORGANIZATIONSUIjiijIJI I ISSIS SISJSSI SIS WHAT THE F*** IS THIS I ASK A QUESTION AND NO ONE ANSWERS>
Answer by lynnlo(331) About Me  (Show Source):
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ok, what is your question


Question 608283: A class survey showed that 7 out of 25 students plan to travel over summer vacation. How many students out of the 200 students in the school would you expect to be traveling in the summer?
Answer by stanbon(50470) About Me  (Show Source):
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A class survey showed that 7 out of 25 students plan to travel over summer vacation. How many students out of the 200 students in the school would you expect to be traveling in the summer?
-----------------------------
Use a proportion:
x/200 = 7/25
----
x = 200*7/25
---
x = 8*7 = 56
==================
Cheers,
Stan H.


Question 608132: what is 25% of a £180

Answer by jim_thompson5910(23765) About Me  (Show Source):
You can put this solution on YOUR website!
0.25*180 = 45


So 25% of £180 is £45


Question 607752: What percent of the total land area is the land area of Asia? Round to the nearest tenth of a percent.
asia=17,150,000

Answer by jim_thompson5910(23765) About Me  (Show Source):
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You would need to know the total land area of the entire globe in order to answer this question.


Question 607694: pie chart shows how a local government agency alloctes budget to different areas
agricultural-110 degrees
education-80 degrees
health-90 degrees
labour-45 degrees
transportation-45 degrees
questions:-
the agency allocates $30,000 to education calculate:
a)the total budget
b)the amount allocated to agricultural
thank you,
safiya(destiny)

Answer by ewatrrr(7340) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
360 degrees in all
agricultural-110 degrees 110/360 = .31 and .31·$136,364 = $42,273
education-80 degrees 80/360 = .22 and 30,000/.22 = total budget = $136,364
health-90 degrees
labour-45 degrees
transportation-45 degrees


Question 607356: If the angles of a triangle are in the ratio 2:3:7, the triangle is?
Answer by jim_thompson5910(23765) About Me  (Show Source):
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2x+3x+7x = 180

12x = 180

x = 180/12

x = 15

2x = 2*15 = 30

3x = 3*15 = 45

7x = 7*15 = 105


So the three angles are 30, 45 and 105 degrees
--------------------------------------------------------------------------------------------------------------
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Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------


Question 607355: Which of the following expresses the ratio of 3 inches to 2 yards?
A)3:2
B)3:9
C)3:12
D)3:24
E)3:72

Answer by jim_thompson5910(23765) About Me  (Show Source):
You can put this solution on YOUR website!
3 inches to 2 yards

3 inches: 2*3 feet

3 inches: 6 feet

3 inches: 6*12 inches

3 inches: 72 inches

3:72

1:24

The ideal and most simplified answer is 1:24, but it looks like they don't want you to simplify fully.

So the answer is D)3:24



Question 607353: A man borrows $360. If he pays it back in 12 monthly installments of$31.50, what is his interest rate?
A)1.5%
B)4.5%
C)10%
D)5%
E)7.5%

Answer by jim_thompson5910(23765) About Me  (Show Source):
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"he pays it back in 12 monthly installments of$31.50" means he pays a total of 12*31.50 = 378 dollars.

Subtract 360 from this: 378 - 360 = 18

So he pays a total of $18 in interest. This means I = 18

The principle is 360. So P = 360

The amount of time is one year, so t = 1


I = Prt

18 = 360*r*1

18 = 360r

18/360 = r

0.05 = r

r = 0.05

So the interest rate is 5%


Question 606912: What is 59 of 60 per cent?

Answer by nerdybill(5872) About Me  (Show Source):
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What is 59 of 60 per cent?
It would be:
59 * 60/100
59 * .60
35.4


Question 606534: After 4 tests this term Jessica had a 72% average. He has 2 more tests left in the term. What average score will Jessica need on the final 2 tests to bring his average to 80%
Answer by ankor@dixie-net.com(13504) About Me  (Show Source):
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After 4 tests this term Jessica had a 72% average.
He has 2 more tests left in the term.
What average score will Jessica need on the final 2 tests to bring his average to 80%
:
This means he will have a total of 6 tests
Let x = average grade on the final two tests
:
%28%284%2872%29+%2B+2x%29%29%2F6 = 80
multiply both sides by 6
4(72) + 2x = 6(80)
288 + 2x = 480
2x = 480-284
2x = 192
x = 192/2
x = 96% av on the last two tests


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