Question

Ben and Marcus received some
money from their mother. Marcus
would have $64 more than Ben if Ben
gave 2/5 of his share to Marcus.
Marcus would have $144 more than
Ben if Ben gave 2/3 of his share to
Marcus. How much money did Ben
receive from his mother?

Answer 1

2/5 = 6/15, Left = 9/15
2/3 = 10/15, left = 5/15

M = 9/15 + x + 6/15
B = 9/15 ( 64 ) = x + 6/15
—————————————————-
M = 5/15 + 4/15 + x + 10/15
B = 5/15 ( 144 ) = 14/15 + x
———————————————
14/15 + x - x - 6/15 = 144 - 64
8/15 = 80
1/15 = 10
Ben = 15/15
= 15 * 10
= $150