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?
+128578 (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
