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

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Tutors Answer Your Questions about percentage (FREE)


Question 571135: If the population of a town is 25000, an increase of 70% from its population 5 years ago, what was its polulation 5 years ago?
How do you figure this out?

Answer by rfer(10417) About Me  (Show Source):
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25000 is 170% of 5 yrs ago
25000/1.70=14,706


Question 571132: what is the percentage discount if you take 10 dollars from 40 dollars
Answer by mananth(10539) About Me  (Show Source):
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x% of 40 =10
%28x%2F100+%29%2A+40+=10
x%25+of+40+=10%0D%0A%0D%0A%3CIMG+SRC=%2Fcgi-bin%2Fplot-formula.mpl%3Fexpression=%2528x%252F100%2B%2529%252A%2B40%2B=10%26x=0003+ALIGN=MIDDLE++ALT=%27%2528x%252F100%2B%2529%252A%2B40%2B=10%27++%3E%0D%0A%0D%0Ax=(100*10)/40
x=25
25 %


Question 569811: If a number is reduced by 15% of itself, the result is 29.1465, find the number
Answer by Alan3354(21541) About Me  (Show Source):
You can put this solution on YOUR website!
If a number is reduced by 15% of itself, the result is 29.1465, find the number
----------
n = the number
15% = 0.15
n - 0.15n = 29.1465
0.85n = 29.1465
n = 29.1465/0.85
Calculator time
You get this one.


Question 569350: What percent of 145 is 29 ?
Found 2 solutions by IWork4Dessert, solver91311:
Answer by IWork4Dessert(57) About Me  (Show Source):
You can put this solution on YOUR website!
You know that a percentage is out of 100, right? And you know that, in this case, 29 is out of 145. So all you have to do is set up a proportion.
29/145=x/100 ---> showing that 29 is a certain percentage of 100
Now cross-multiply.
2900=145x
Divide both sides by 145 to get the variable(the letter) alone.
x=20
Your answer is 20%.

Answer by solver91311(12114) About Me  (Show Source):
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Divide 29 by 145 then move the decimal point 2 places to the right.

John

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



Question 569037: a fund drive announce that is has raised $3,348 which is 60% of its goal
Answer by josmiceli(6766) About Me  (Show Source):
You can put this solution on YOUR website!
Let +g+ = goal
+3348+=+.6%2Ag+
+g+=+3348%2F.6+
+g+=+5580+
The goal is $5,580


Question 568226: how do u change 0.03 to a percent
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply it by 100 to get 0.03*100 = 3%

So the answer is 3%


Question 567677: A desk is on sale for $220.80 , which is 76% less than the regular price.
What is the regular price?






Answer by Maths68(1140) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Regular Price = x
Discount = 76% of x = (76/100)(x)
Discount = 76% of x = 76x/100

Regular price - Discount = Sale price
x - 76x/100=220.80
(100x-76x)/100=220.80
24x=220.80*100
24x=22080
24x/24=22080/24
x=920
Regular price is $920


Question 566527: Hank has some 60% maple syrup and some 100% maple syrup in his restaurant. How many ounces of EACH should he use to make 100 ounces of 85% maple syrup
Found 2 solutions by Maths68, josmiceli:
Answer by Maths68(1140) About Me  (Show Source):
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Solution A
Amount =x ounces
Concentration =60% = 0.6
Solution B
Amount = 100-x ounces
Concentration =100% = 1
Resultant Solution
Amount =100 ounces
Concentration =85%=0.85
[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant
(x)(0.6)+(100-x)(1)=(100)(0.85)
0.6x+100-x=85
-0.4x=85-100
-0.4x=-15
-0.4x/-0.4=-15/-0.4
x=37.5



Solution A
Amount = x = 37.5 ounces
Concentration =60% = 0.6
Solution B
Amount = 100-x = 100-37.5 = 62.5 ounces
Concentration =100% = 1


Hank has to mix 37.5 ounces of 60% maple syrup and 62.5 ounces of 100% maple syrup to make 100 ounces of 85% maple syrup

Answer by josmiceli(6766) About Me  (Show Source):
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Let +a+ = ounces of 60% m.s. needed
Let +b+ = ounces of 100% m.s. needed
given:
(1) +a+%2B+b+=+100+
(2) +%28.6a+%2B+1%2Ab%29+%2F+100+=+.85+
-------------------------
(2) +.6a+%2B+b+=+85+
(2) +6a+%2B+10b+=+850+
Multiply both sides of (1) by 6
and subtract (1) from (2)
(2) +6a+%2B+10b+=+850+
(1) +-6a+-+6b+=+600+
+4b+=+250+
+b+=+62.5+
and
(1) +a+%2B+62.5+=+100+
(1) +a+=+37.5+
37.5 ounces of 60% m.s. are needed
62.5 ounces of 100% m.s. are needed


Question 564757: The price of a suit was $540. This included a 15% discount. What was the original price?
Answer by ad_alta(170) About Me  (Show Source):
You can put this solution on YOUR website!
We know that 85% of the real price is $540. Thus 0.85p=540 with 'p' the real price. Dividing we get p=635.29.


Question 563977: how much does .370 equal on a pie chart
plaese can you use a visual to explain the answer

Answer by richard1234(4787) About Me  (Show Source):
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.370 = 37% = 37/100

Can't really draw a pie chart here...just think of it as "37 out of 100."


Question 563925: find the slope-intercept equation for the line with the indicated slope and y-intercept slope 5/7; y-intercept (0,4)
Answer by TutorDelphia(189) About Me  (Show Source):
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y=mx+b is slope intercept for where m=the slope and b=the intercept
In this case the slope is 5/7 so m=5/7
The intercept is 4 because when x=0 and y=4 is where the line will intercept the y axis.
y=(5/7)x+4


Question 563926: simplify. please show all of your work. x^2-2x+5x-(-x^2+7x)
Answer by TutorDelphia(189) About Me  (Show Source):
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x^2-2x+5x-(-x^2+7x)
Distribute the negative
x^2-2x+5x+x^2-7x
Combine like terms for x^2
2x^2-2x+5x-7x
Combine like terms for x
2x^2-4x


Question 563922: find the slope and the y intercept y=-3/8x+4
Answer by josmiceli(6766) About Me  (Show Source):
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slope = +3%2F8+
y-intercept = +4+
Here's the plot:
+y+=+%283%2F8%29%2Ax+%2B+4+
+graph%28+400%2C+400%2C+-12%2C+6%2C+-6%2C+12%2C+%283%2F8%29%2Ax+%2B+4+%29+


Question 563921: solve. please show all of your work.
during one year, the mccarthy's real estate bill included $527 for miscellaneous services. of this amoutn,18% went to the animal shelter fund. how much money did the animal shelter receive?

Answer by josmiceli(6766) About Me  (Show Source):

Question 562453: Please help me solve this problem.if 5percent of a number is 25 .what is that number?
Answer by MathHelper7(6) About Me  (Show Source):
You can put this solution on YOUR website!
20%
This requires a calculator:
5 divided by 25 = 0.2
2 is in the tenths place so you times it by 10, 2x10=20
Add the percent sign:
20%


Question 562445: Find 140% of 82?
Answer by jlshires(17) About Me  (Show Source):
You can put this solution on YOUR website!
To find percentages, turn them into a fraction comparison.
You know that a percent is always out of 100, so 140 out of 100 is your first fraction. You are looking for what 140% is out of 82, so that is x out of 82:
(140)/(100)=(x)/(82)
Then you cross multiply to get 100x=(140)(82)
100x=11480
diide both sides by 100 to get
x=114.8
That's your answer.


Question 562427: THE AMOUNT $180.00 IS WHAT PERCENT GREATER THAN $135.00?
Answer by ankor@dixie-net.com(12678) About Me  (Show Source):
You can put this solution on YOUR website!
THE AMOUNT $180.00 IS WHAT PERCENT GREATER THAN $135.00?
:
%28180-135%29%2F135 * 100 = 33.33% greater


Question 561215: 16% of 121 is what number?
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
0.16*121 = 19.36

So the answer is 19.36
-------------------------------------------------------------------------------------------------
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

-------------------------------------------------------------------------------------------------


Question 560720: how do I turn 19,400 into a percent?

Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
how do I turn 19,400 into a percent?
----
(19,400/1)(100/100) = 1,940,000%
=======
Cheers,
Stan H.
==========


Question 560079: Eileen earned 45.00 in annual interest from a savings account with a 3.5% annual interest rate. Assuming she made no deposits or withdrawals during the year, what is the balance in the account?
Answer by rfer(10417) About Me  (Show Source):
You can put this solution on YOUR website!
(45/0.035)+45=$1,330.71


Question 559956: Attendance at a cinema decreased by 12 %. How many percent should the price of
the movie ticket be raised so that the revenue would only decrease by 5 %?

Answer by ankor@dixie-net.com(12678) About Me  (Show Source):
You can put this solution on YOUR website!
Attendance at a cinema decreased by 12 %.
How many percent should the price of the movie ticket be raised so that the revenue would only decrease by 5 %?
:
Assume there are 100 at $1 each in attendance originally
A 12% decrease means only $88 in revenue
A 5% decrease mean $95 in revenue
95 - 88 = 7% increase in price to have 95% revenue


Question 559842: 12.5 is what percent of 1250
Answer by josmiceli(6766) About Me  (Show Source):
You can put this solution on YOUR website!
percent means " per one hundred "
+12.5+=+%28+x%2F100+%29%2A1250+
+1250+=+1250x+
+x+=+1+
12.5 is 1% of 1250


Question 559389: What percent of 111 is 80? How do you get that answer?
Answer by ankor@dixie-net.com(12678) About Me  (Show Source):
You can put this solution on YOUR website!
What percent of 111 is 80? divide 80 by 111, multiply by 100
80%2F111 * 100 = 72.072%


Question 559628: A local radio station is drawing to win tickets to see a rock group. The winners will be driven in a limousine that holds 8 passengers. Concert tickets cost $22 for adults and $19 for students. after renting a limousine the radio station has $167 left in their give away budget to buy the 8 tickets. how many adults and student tickets can the station buy?
Answer by josmiceli(6766) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of adult tickets station can buy
Let s = number of student tickets station can buy
given:
(1) +22a+%2B+19s+=+167+
(2) +a+%2B+s+=+8+
Multiply both sides of (2) by 19 and
subtract (2) from (1)
(1) +22a+%2B+19s+=+167+
(2) +-19a+-+19s+=+152+
+3a+=+15+
+a+=+5+
and
(2) +a+%2B+s+=+8+
(2) +5+%2B+s+=+8+
(2) +s+=+3+
They can buy 5 adult and 3 student tickets
check:
(1) +22a+%2B+19s+=+167+
(1) +22%2A5+%2B+19%2A3+=+167+
(1) +110+%2B+57+=+167+
(1) +167+=+167+
OK


Question 559069: in a class election 82% of the voters chose hilburn for presdient. if 350 students voted, how many votes did hilburn receive?
Answer by josmiceli(6766) About Me  (Show Source):
You can put this solution on YOUR website!
+.82%2A350+
You can calculate it


Question 558832: An 80% decrease followed by a 100% increase is the same as a 50% decrease followed by what other percent decrease?Please explain
Answer by KMST(576) About Me  (Show Source):
You can put this solution on YOUR website!
If you start with 100, an 80% decrease brings you down to 100-80=20.
A 100% increase is an increase by the same amount, so 20 turns into 20+20=40.
On the other hand if the same starting 100 was decreased by 50% to 100-50=50, to get to a final number of 40 you have to subtract another 10=50-40. As a percentage of the previous 50, the subtracted 10 constitutes a 20% decrease
10%2F50=percentdecrease%2F100 ---> percentdecrease=%2810%2F50%29%2A100=10%2A100%2F50=20
You could use x instead of percentdecrease to give it a little algebra flavor.
A lot of complicated algebra flavoring could be added, but it's not needed, so I'll let it be.


Question 558811: 99 is 180% of what number?

Answer by Maths68(1140) About Me  (Show Source):
You can put this solution on YOUR website!
Let 99 be the 180% of x
x(180%)=99
x(180/100)=99
180x/100=99
180x=99*100
180x=9900
180x/180=9900/180
x=990/18
x=55

99 is 180% of 55
Check
=====
1% of 55 = 55/100
1% of 55 = 0.55
180% of 55 = 0.55*180
180% of 55 = 99



Question 558329: 35.752 is 43.6% of what number
Answer by nerdybill(5399) About Me  (Show Source):
You can put this solution on YOUR website!
35.752 is 43.6% of what number
.
Let x = the number
then
35.752 = .436x
35.752/.436 = x
82 = x (this is your number)


Question 558321: convert 0.8% to a decimal
Answer by Alan3354(21541) About Me  (Show Source):
You can put this solution on YOUR website!
convert 0.8% to a decimal
-----------
0.8% is 0.8 per hundred.
Divide by 100
--> 0.008


Question 558320: to get the right answer for this problem you got too look at both problems. #41 to get the answer for #42 please show all of your work.
#42 two angles are complementary (see exericse 41) the measure of one angle is 1 1/2 times the measure of the other. find the measure of each angle.
#41 the sum of the measure of two complementary angles is 90% if one angle measure 15% more than twice the measure of its complement, find the measure of each angle.

Answer by JBarnum(1826) About Me  (Show Source):
You can put this solution on YOUR website!
#41
complementry is 90degrees
angle y + angle z+=+90degrees
im not sure what the 90% is for as it doesnt say what percent it is of???
.15z%2B2z=y
%28.15z%2B2z%29%2Bz=90
3.15z=90
z=28.5714
y=61.4286
.
.
#42
this has nothing to do with #41 other than its the same process to get the answer
complementry is 90degrees
angle y + angle z+=+90degrees
1.5z=y
1.5z%2Bz=90
2.5z=90
z=36
90-36=54
y=54


Question 558322: convert 37/40 to a percent
Answer by Alan3354(21541) About Me  (Show Source):
You can put this solution on YOUR website!
convert 37/40 to a percent
-------
37.40 = 0.925
per cent means "per hundred"
0.925*100 --> 92.5%


Question 558313: use the five steps for problem solving to answer the following question. please show all of your work.
the average of two test scores is 79 if one test score is eleven less than the other, what are the two test scores?

Answer by heilok(4) About Me  (Show Source):
You can put this solution on YOUR website!
Hi.

Let x be the score of the test with better performance.
Then the score of another test is (x-11).

Average score of the 2 tests=79
[x+(x-11)]/2=79
2x-11=158
x=84.5

The score of the test with better result is 84.5
The score of another test=84.5-11=73.5.

Hope it helps :)


Question 558284: John paid $4760 for a washing machine after a discount of 15%. What was the original price. I am convinced that I am not adding 15% to 4760 as that would not be the discount from the original price, but I cannot see how to figure out the original price.....help me please
Answer by J2R2R(94) About Me  (Show Source):
You can put this solution on YOUR website!
If John received a 15% discount then 85% of the full price is $4760.
Therefore the full price is $4760 x 100/85 = $5600
Check:
15% of $5600 = $840
$5600 - $840 = $4760


Question 557205: convert to a percent
0.00763

Answer by bluemockingjay7(41) About Me  (Show Source):
You can put this solution on YOUR website!
move to decimal places to the right.
Answer: .763%


Question 557383: A woman buys three pairs of jeans for $116.55, including tax. If each pair of jeans cost $37, what was the sales tax rate?

Answer by vampirewitchreine(6) About Me  (Show Source):
You can put this solution on YOUR website!
Think about it. Why did they give both the price of the jeans and how much the total was?


Taking the given information: (The total price of just the jeans is the subtotal)
116.55-(37*3)
116.55-111
5.55


So now you have 5.55 is the amount of tax paid on the jeans in total.


So you take the amount of taxes (5.55) and divide by the subtotal (111)


5.55/111= .05 or 5%


Question 557301: convert to a percent
0.00763

Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
convert to a percent
0.00763/1
---
Multiply numerator and denominator by 100 to get:
0.763/100 = 0.763%
===========================
Cheers,
Stan H.
===================


Question 557290: i took a basic life support class 60% of my grade was demonstration 20% is quizzes and 20% is final. i got a 92 in my finals and 73.4 in quizzes then the other 60% where it stands and how do i calculate my final grade with this information.
Answer by bucky(2097) About Me  (Show Source):
You can put this solution on YOUR website!
I presume your quizzes and final are done for since you have those scores.
.
Here's how to figure your final grade:
.
Since your average score on your quizzes was 73.4 and it comprises 20% of your grade, multiply 20% (or rather its decimal equivalent of 0.2) times 73.4. The answer is 14.68. That means your quizzes will contribute 14.68 points to your final grade.
.
Next your average score in your finals was 92. Multiply that by the 20% (or 0.2) that it contributes to your final grade. 92 times 0.2 = 18.40 points. So your finals contribute 18.40 points to your final grade.
.
This being the case you have earned a total of 14.68 plus 18.40 points of your final grade. This total is 33.08 points.
.
Now you need the average score on your demonstrations. If you think your average score on your demonstrations will be 100, multiply that by 60% (or 0.6) and that will give you 60.00 points. Adding this to the 33.08 points you have already accumulated from quizzes and the finals will result in a final grade score of 93.08.
.
Similarly, if you think that you will average 90 points on your demonstrations, multiply 90 times 0.6 and you get 54.00 points to to add to the 33.08 you have accumulated so far, and that will result in a final grade of 87.08.
.
This should be enough to give you the idea of how to compute your final grade in the course once you know the average score you got on your demonstrations.
.
I hope this helps you. Obviously scoring well on your demos would really be a big benefit to you. Good luck and best wishes for your success.
.


Question 557129: convert to a fraction in lowest terms
28.6%

Answer by rfer(10417) About Me  (Show Source):
You can put this solution on YOUR website!
=0.286
=286/1000=143/500


Question 557136: what is 45% of 34
Answer by rfer(10417) About Me  (Show Source):
You can put this solution on YOUR website!
34*0.45=15.3
of means multiply


Question 557155: what number is 35% of 240
Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
what number is 35% of 240
----
Let the number be "x":
----
x = 0.35*240
----
x = 84
===============
Cheers,
Stan H.
===============


Question 557156: convert to percent notation

what percent of 40 is 9

Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
convert to percent notation
what percent of 40 is 9
------
Ans: 9/40 = 0.2250
========================
Cheers,
Stan H.
========================


Question 557141: 12 is 60% of what
Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
12 is 60% of what
----
Let the answer be "x":
Equation:
0.60x = 12
---
x = 12/0.60 = 20
=====================
Cheers,
Stan H.
=====================


Question 557147: solve the problem. show all of your work
During one year, the Green's real estate bill included $676 for local schools of this account, $140 went to the high school district. what percent did the Greens pay to the high school district? round your answer to two decimal places

Answer by stanbon(48502) About Me  (Show Source):
You can put this solution on YOUR website!
During one year, the Green's real estate bill included $676 for local schools of this account, $140 went to the high school district. what percent did the Greens pay to the high school district? round your answer to two decimal places
-------------------
Ans: 140/676 = 0.2071 = 0.21 when rounded
==============================================
Cheers,
Stan H.
=============


Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700