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There boys donated the same amount of their savings to a charity organization. Ramian donated 2/3 of his savings, Brandon donated 4/7 of his and Johnathan donated 3/5 of his. They had a total savings of $1652 at first. How much did each boy donate to the charity organization?

 Aug 31, 2023
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(2/3)R = (4/7) B    →   (7/4)(2/3)R  = B →  (14/12)R = B  →  (7/6)R =  B

 

And

 

(2/3)R = (3/5)J   → (5/3)(2/3)R = J →  (10/9)R = J

 

So

 

R + (7/6)R + (10/9)R =  1652

 

(54/54)R + (63/54)R + (60/54)R = 1652

 

(177/54) R =  1652

 

R = 1652  ( 54/177)  = $504

 

B =  (7/6)R  = (7/6)(504)  = $588

 

J  = (10/9)R = (10/9)(504)  = $560

 

cool cool cool

 Aug 31, 2023

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