SOLUTION: Please assist. Thank you. James, Kyle and Leonard were given some money by their uncle. 1/5 of James money is the same as 3/4 of Kyle’s money and 2/5 of Leonard’s money. Give

Question 1188042: Please assist. Thank you.
James, Kyle and Leonard were given some money by their uncle. 1/5 of James
money is the same as 3/4 of Kyle’s money and 2/5 of Leonard’s money. Given that
Kyle received $7 less than Leonard, how much did their uncle give the boys?
Answer by ikleyn(52873) (Show Source): You can put this solution on YOUR website!
.
James, Kyle and Leonard were given some money by their uncle. 1/5 of James
money is the same as 3/4 of Kyle’s money and 2/5 of Leonard’s money. Given that
Kyle received $7 less than Leonard, how much did their uncle give the boys?
~~~~~~~~~~~~~~~~~~~~

Let James' money be 30x.

Then 1/5 of James' money is 6x, and it is the same as 3/4 of Kyle's money.


Hence, 1/4 of Kyle's money is 2x;  it means that Kyle's money is 8x.



Also, from the problem, 1/5 of of James' money, i.e. 6x, is 2/5 of Leonard's money.

Hence, 1/5 of Leonard's money is 3x,  which means that the total Leonard's money is 15x.


We are given that  Leonard's money - Kyle money = 7 dollars,  or

    15x - 8x = 7.


It implies  

       7x   = 7,

        x   = 1  dollars.


ANSWER.  The boys have  $30 (James),  $8 (Kyle)  and  $15 (Leonard).

         In total, they have  30 + 8 + 15 = 53 dollars.

         The uncle gave them $53.

Solved.

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