Grade 5 maths

Alan, Bill and Carl shared $372. After Alan spend 2/ 5 of his share, Bill spent 1 /2 of his share and Carl spent 1/3 of his share, the boys found they had the same amount of money left.

(a) What is the ratio of Alan's share to Bill's share to Carl's share?

(b) How much did they spend altogether?

  1. 👍 0
  2. 👎 0
  3. 👁 104
asked by Bryan
  1. a + b + c = 372
    what is left to each = 1-fraction spent
    (3/5) a = (1/2)b = (2/3) c

    (a) common denominator is 30
    18a = 15 b = 20 c
    so a/b = 15/18 = 5/6
    a/c = 20/18 = 10/9
    b/c = 20/15 = 4/3

    (b)
    a = 10 c/9
    b = 4c/3

    a + b + c = 372
    10c/9 + 4c/3 + c = 372

    10 c/9 + 12 c/9 + 9 c/9 = 372
    31 c = 9*372
    c = 108

    You can take it from there I think

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. By the way - grade 5 ??

    1. 👍 0
    2. 👎 0
    posted by Damon
  3. A, B, C are the initial amounts.

    then
    3/5 A= 1/2 B = 2/3 C then
    A=10/9 C
    B=4/3 C
    but A+B+C=372 so
    10/9 C+ 4/3 C+ C=372
    10C+12C+9C=9*372
    31C=9*372

    C= you do it. From this, figure A, and B.

    Then, ratios are A/B, A/C, and B/C

    how much did they spend? go back to the problem, and do that calculation.

    check my logic

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. business law

    Alan has authority to make purchase contracts. Alan has a friend who sells hot dogs, the friend offers Alan a vacation condo. Applying the Newspaper Test the headlines would read “ Alan awards Hotdog Contract for frien in

    asked by Anonymous on February 10, 2014
  2. math

    Muthu, Ali and Bill shared a sum of money. 30% of Muthu's share was equal to 80% of Ali's share. Bill's share was 25% of Muthu's share. Ali had $185 more than Bill. (a) Find the total sum of money. (b) If Muthu gave Bill 55% of

    asked by Anonymous on December 30, 2013
  3. math

    Four brothers in one family have a combined age of 39 years. Alan is three times collins age, bill is 6 years younger than Alan and don is a quarter of bills age. How old are each of the four browser

    asked by Anonymous on January 6, 2016
  4. English ( Dorian Gray Book)

    Some questions I need answered to prepare for a test I am going to take. 1) How does Dorian react to Basil's murder? Why is this significant? 2) What does the author reveal about dorian's acquaintance with Alan Campbell? How has

    asked by Lincoln on November 18, 2007
  5. Math

    So Prize money of $500 is divided between Alan & Jim so that Alan receives $170 more than Jim How much does each receive ----- Using one variable:: Let Jim have "x" Then Alan has "x+170" ---- Equation: x + x+170 = 500 2x = 330 x =

    asked by Jeremy on March 28, 2016
  6. Physics

    As Alan is taking a shower, the soap falls out of the dish and Alan steps on it with a force of 500 N. If Alan slides forward and the frictional force between the soap and the tub is 50 N, what is the coefficient of friction

    asked by Micah on November 1, 2010
  7. Physics

    As Alan is taking a shower, the soap falls out of the dish and Alan steps on it with a force of 500 N. If Alan slides forward and the frictional force between the soap and the tub is 50 N, what is the coefficient of friction

    asked by Micah on November 1, 2010
  8. Physics

    As Alan is taking a shower, the soap falls out of the dish and Alan steps on it with a force of 500 N. If Alan slides forward and the frictional force between the soap and the tub is 50 N, what is the coefficient of friction

    asked by Micah on November 1, 2010
  9. Math

    By your cell phone contract, you pay a monthly fee plus $0.03 for each minute you spend on the phone. In one month, you spent 240 minutes over the phone, and had a bill totaling $26.20. Let x be the number of minutes you spend on

    asked by Tyler on October 20, 2019
  10. physics...

    As Alan is taking a shower, the soap falls out of the dish and Alan steps on it with a force of 500 N. If Alan slides foward and the frictional force between the soap and the tub is 50 N, what is the coefficient of friction

    asked by hailey on November 5, 2008

More Similar Questions