
Tutors Answer Your Questions about Percentageandratiowordproblems (FREE)
Question 994629: in a school x no of boys is 40 percent more than girls and in a school y no of girls is 50 percent more than boys if 50 percent of boys in school x =70 percent of girls in school y what is the ratio between no of students of school x and y?
Answer by ankor@dixienet.com(18980) (Show Source):
You can put this solution on YOUR website! "in a school x no of boys is 40 percent more than girls,"
lets try this with some values,
let b = no. of boys in the x school
let g = no. of girls
x = 360 total students in x school
then
b + g = 360
given statement
b = 1.4g
Replace b with 1.4g
1.4g + g = 360
2.4g = 360
g = 360/2.4
g = 150 girls in x school
and
360  150 = 210 boys in x school
:
if 50 percent of boys in school x = 70 percent of girls in school y,
let f = no. of girls in school y
.5(210) = .7f
105 = .7f
f = 105/.7
f = 50 girls in school y
:
It also says,"in a school y no of girls is 50 percent more than boys."
let m = no. of boys in school y
1.5m = 50
m = 50/1.5
m = 150 boys in school y
:
Find the total students in school y
50 + 150 = 200
:\
what is the ratio between no of students of school x and y?
reduces to a ratio of 9:5
Question 994638: A paddle boat can move at a speed of 20km/h in still water. The boat is paddles 10km downstream in a river in the same time it takes to go 5km upstream. What is the speed of the river?
Answer by macston(4006) (Show Source):
Question 994640: In a class of 38 boys,3 were absent.20% of the rest did not complete their homework. How many boys have completed their homework?
Answer by macston(4006) (Show Source):
You can put this solution on YOUR website! 38 Total3 absent = 35 present.
If 20% did not complete their homework,
80% did complete their homework:
.
(0.80)(35)=28
.
ANSWER: Twenty eight boys completed the homework.
.
Question 994545: Acook buys two identical bags ofrice and uses some of the rice in each bag
so that one bag is half full and the other is onethird full. The cook combines them
into one bag, which then contains 33 cups ofrice. Howmuch rice was in a fullbag?
Answer by macston(4006) (Show Source):
You can put this solution on YOUR website! .
x=amount in full bag
.
(1/3)x+(1/2)x=33 cups
(2/6)x+(3/6)x=33 cups
(5/6)x=33cups
5x=198 cups
x=39.6 cups
.
ANSWER: A full bag contains 39.6 cups.
Question 994485: I spent 1/3 of my money on a sweater. I spent 3/5 of the remainder on a pair of jeans. If I have $36 left, how much did the sweater cost?
Answer by macston(4006) (Show Source):
You can put this solution on YOUR website! .
x=original amount
.
(1/3)x+(3/5)(x(1/3)x)+$36=x
(1/3)x+(3/5)(2/3)x+$36=x
(1/3)x+(6/15)x+$36=x
(11/15)x+$36=x
$36=(4/15)x
$135=x You originally had $135.
.
You spent 1/3 on the sweater:
(1/3)($135)=$45
.
ANSWER: The sweater cost $45.
Question 994491: There are about 300 million people in the United States. A 2007 report1 claimed that the richest 1% of Americans controlled 42% of the nation’s wealth. About how many people is this?
Answer by josmiceli(13716) (Show Source):
Question 994135: if 24 shirts distributed to a class,, 1/6 of the students did not receive, how many more shirts needed
Answer by stanbon(69061) (Show Source):
You can put this solution on YOUR website! if 24 shirts distributed to a class,, 1/6 of the students did not receive, how many more shirts needed

Note: 5/6 of the class received shirts
Each (1/6) received 24/5 = 4 4/5 shirts

How many more shirts are needed?
Ans: 5

Cheers,
Stan H.

Question 994031: If 16 2/3 % of a number is 25,find the number?
Answer by vleith(2950) (Show Source):
Question 993971: If you give 2/3 of fish to a friend and 2/5 to another friend and you only have 30 left how much did you have in the beginning
Found 2 solutions by ikleyn, josgarithmetic: Answer by ikleyn(988) (Show Source): Answer by josgarithmetic(13975) (Show Source):
Question 993934:
At a conference, the organizer determined that 32% of the attendees were between the ages of 18 and 29. Since there were 216 attendees in this age range, there were total attendees at the conference.
3 ▼
Read Aloud InfoGrade AssessmentSave and Exit
Answer by Boreal(1464) (Show Source):
Question 993787: A tradesman allows a discount of 15% on the written price. How much above the cost price must he mark his goods to make a profit of 19%
Answer by MathTherapy(4047) (Show Source):
You can put this solution on YOUR website! A tradesman allows a discount of 15% on the written price. How much above the cost price must he mark his goods to make a profit of 19%
% markup to allow a 15% discount, and still make a 19% profit.
Question 993726: What is 3/5 of $40 restaurant bill?
What is 5/6 of 18 pencils?
Answer by Cromlix(3061) (Show Source):
Question 993587: The population of a town is 9500. If the males increased by 8% and the females increased by 12%, the population will be
10420. Find the number of females in the town.
Answer by fractalier(2141) (Show Source):
You can put this solution on YOUR website! Let M be males now and let F be females now.
Thus
M + F = 9500
After the increase, we have
1.08M + 1.12F = 10420
Since we want females, let's solve the first equation for M and substitute it into the second equation.
M = 9500  F
1.08(9500  F) + 1.12F = 10420
10260  1.08F + 1.12F = 10420
Simplifying, we get
.04F = 160
and
F = 4000
Question 993611: WE HAVE 45 EMPLOYEES. 64% ARE WOMEN, 36% ARE MEN. hOW MANY WOMEN EMPLOYEES DO WE HAVE. hoW MANY MEN
Answer by Theo(5548) (Show Source):
You can put this solution on YOUR website! .64 * 45 = 28.8
.36 * 45 = 16.2
obviously the numbers are not exact, but if you round off the numbers, you get 29 women and 16 men.
we can test this out to see if it's accurate.
let's assume there were 28 women and 17 men.
the percentages would be 62% women and 38% men rounded off to the nearest integer.
now let's assume there were 29 women and 16 men.
the percentages would be 64% women and 36% men rounded off to the nearest integer.
looks like 29 women and 16 men is the correct answer.
Question 993419: How much 60% antifreeze solution and 30% antifreeze solution should be combined to give 55 gallons of 42% antifreeze solution? Thank you!
Answer by MathTherapy(4047) (Show Source):
Question 993228: There are r and g marbles in a bag, if there are 84 marbles all together are 84 how many are r?
Ratios and proportion question
Answer by stanbon(69061) (Show Source):
You can put this solution on YOUR website! There are r and g marbles in a bag, if there
are 84 marbles all together are 84 how many are r ?

Equation:
r + g = 84
=====
You need to post more information.
Cheers,
Stan H.

Question 993191: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the result fraction is equivalent to 2. what was the original factory?
Answer by Cromlix(3061) (Show Source):
You can put this solution on YOUR website! Hi there,
the numerator of a certain fraction is 5 times the denominator
Make the denominator = 'x'
= 5x/x
if 6 is added to both the numerator and the denominator,
the result fraction is equivalent to 2.
5x + 6/x + 6 = 2/1
Cross multiply
2(x + 6) = 5x + 6
2x + 12 = 5x + 6
Collect like terms.
2x  5x = 6  12
3x =  6
x = 2
Original fraction
= 10/2
Hope this helps :)
Question 993162: There are 18 pieces of chalk the ratio ofcalk that is yellow to chalk that is not yellow is 1:2. How many pieces of chalk are yellow?
Answer by LinnW(866) (Show Source):
You can put this solution on YOUR website! Since the ratio of yellow to not yellow is 1:2
so for 1+2 = 3 pieces of chalk, 1/(1+2) or 1/3 of the chalk is yellow.
So 1/3 * 18 = 6 is the number of pieces of yellow chalk.
Question 993051: Three consecutive integers sum to 123. What are the three integers?
Answer by josgarithmetic(13975) (Show Source):
Question 992974: If a 30% acid solution is mixed with a 50% acid solution, which of the following is not possible as a resulting mixture?
Answer by josgarithmetic(13975) (Show Source):
Question 992888: There are 10 blue pens, 15 red pens and 3 green pens.
.write the ratio of blue pens to total pens in simplest form.
.what is the ratio of red pens to all the other pens.
Thank you for help me.
Answer by macston(4006) (Show Source):
You can put this solution on YOUR website! .
10 blue + 15 red + 3 green = 28 total pens
.
Ratio of red pens to total pens = 15/28
.
Ratio of red pens to other pens = 15/13
Question 992864: If your monthly bill is 15 1/4 % of your monthly salary on Utilities . If your utility bill is 190 $ what is your monthly salary
Answer by macston(4006) (Show Source):
Question 992729: What is the similarity between 85,87 and 90?
Answer by Alan3354(47455) (Show Source):
Question 992566: Three strips of 2yard wide outdoor carpet are used to cover a sidewalk. One is 3.5 yards long the second is 25 percent longer than the first, and the third is 6 1/4 yards long. How are the three carpets placed end to end?
Answer by macston(4006) (Show Source):
Question 992511: In a school there are 800 students and 70 teachers.
10% of the students are left handed.
20% of the teacher are left handed.
How many lefthanded students and teacher are there altogether
Answer by MathLover1(11324) (Show Source):
Question 992398: By selling an article for 72 rupees a man loses 1/7 of his outlay.if it is sold for 94.5rupees, what is gain or lose percent
Answer by josmiceli(13716) (Show Source):
Question 992390: Two coppernickel alloys are to be mixed to obtain 12.00 kg of an alloy that contains 38.0% copper. How much of each alloy is needed if one alloy contains 22.0% and the other contains 49.0% copper?
Answer by josmiceli(13716) (Show Source):
Question 992379: Luisa bought 6 cans of cat food that cost the same amount. She spent a total of $4.80. Write an equation that determines the cost of one can and solve the problem. It's supposed to be be written as an algebra problem.
Answer by solver91311(20879) (Show Source):
You can put this solution on YOUR website!
Choose a convenient variable to represent the cost of one can of cat food. Represent 6 times this variable as the LHS of your equation. The RHS is $4.80, if the unit of measure for the variable is dollars, or 480 if the unit of measure for the variable is cents.
John
My calculator said it, I believe it, that settles it
Question 992370: there are 3/5 students in class that are female and 12 are male how many students in the class
Answer by MathLover1(11324) (Show Source):
Question 992077: Mark buys 7 \10 kg of sweets .and shares it equally with his sister .what part of the kg does his sister receives?
Answer by macston(4006) (Show Source):
Question 992163: If I ordered $50,000 worth of merchandise and I received $51,000 worth of merchandise, what is the percentage of orders received?
Answer by Theo(5548) (Show Source):
Question 991964: I have 4/5 pounds of cheese and I want to cut it into 8 equal pieces. How much should each piece weigh?
Answer by josmiceli(13716) (Show Source):
Question 991698: the radio of men to women working for the company is 7 to 4. if there are 297 employees total, how many men work for the company
Answer by Fombitz(25151) (Show Source):
Question 991808: Of the 400 students at a basketball game, 180 are girls and the rest are boys. What percent of the students at the basketball game are boys?
Answer by macston(4006) (Show Source):
You can put this solution on YOUR website! .
Total students  girls = boys
400  180 =220
There were 220 boys.
.
(220/400)(100%)=55%
ANSWER: 55% of the students at the game were boys.
Question 991523: there are 13 males and 12 females in a calss, how many more males are there in the class than females?... answer in percentage
Answer by josmiceli(13716) (Show Source):
You can put this solution on YOUR website! There is 1 more male than there are females

If there were the same number of males as females,
then the differnce would be 0%

If there were twice as many males as females, then
the difference would be 100%

1 more male than females is a difference of
8.333%
Question 991323: Megan, Emily, and Melanie share a container of ice cream. Megan eat 1/8 of the container, Emily eats 1/4 of the container and Melanie eats the rest. What is the ratio of Megan's share to Emily's share to Melanie's share ?
Answer by Fombitz(25151) (Show Source):
Question 991149: In a town, 150 people need 800 liters of water to drink everyday. At festival time how many total liters of water do they need to drink if there are an additional 75 guests attending the festival?
Answer by Cromlix(3061) (Show Source):
You can put this solution on YOUR website! Hi there,
In a town, 150 people need 800 liters
of water to drink everyday.
So, each person requires 800/150 = 5.3 liters
An additional 75 guests would require 75 x 5.3333
= 400 liters
Hope this helps :)
Question 991223: Of the 17 students in class 8 play in the band. What fraction of the total number of students in class are in the band
Answer by farohw(153) (Show Source):
Question 991205: The mystery number is a fraction whose value is less than one. The product of the numerator and denominator is a number cubed, and the sum of the numerator and denominator is a number squared. The difference between the numerator and denominator is a prime number. What is the mystery number?
Answer by ankor@dixienet.com(18980) (Show Source):
You can put this solution on YOUR website! The mystery number is a fraction whose value is less than one.
The product of the numerator and denominator is a number cubed, and the sum of the numerator and denominator is a number squared.
The difference between the numerator and denominator is a prime number. What is the mystery number?
:
How about
1 * 8 = 8 a cube
1 + 8 = 9 a square
8  1 = 7 a prime
Question 991075: Manish purchased an item for Rs.6500 and sold it at a loss of 30 %. From that amount he purchased another item and sold it at profit of 25%.what is his overall gain or loss.?
Answer by josmiceli(13716) (Show Source):
Question 991096: If i have 45 children and 9 have red shirts,1 has a brown shirt, 1 has blue, 17 has green and 17 has orange what are the percentages?
Found 2 solutions by josmiceli, stanbon: Answer by josmiceli(13716) (Show Source): Answer by stanbon(69061) (Show Source):
You can put this solution on YOUR website! If i have 45 children and 9 have red shirts,1 has a brown shirt, 1 has blue, 17 has green and 17 has orange what are the percentages?

Divide 9,1 and 17 by 45 to find each of the percentages.
Example
9/45 = 1/5 = 0.20 = 20%

Cheers,
Stan H.

Question 991093: The body has been divided into three parts. Each part is then expressed as a fraction of the total body height. For example, the torso is 4/15 of the body height and below the waist is 3/5 of the body height. What fraction of the body height is the head?
Found 2 solutions by stanbon, josmiceli: Answer by stanbon(69061) (Show Source):
You can put this solution on YOUR website! The body has been divided into three parts. Each part is then expressed as a fraction of the total body height. For example, the torso is 4/15 of the body height and below the waist is 3/5 of the body height. What fraction of the body height is the head?

Ans: 1[(4/15)+(9/15)] = 1 [13/15] = 2/15

Cheers,
Stan H.

Answer by josmiceli(13716) (Show Source):

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, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100

 