Bryan, Adam and Charlie have $1022.
After Bryan spends ⁵₇ of his money,
Adam spends ⁴₉ of his money and
Charlie spends ¹₂ of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.

	Bryan	Adam	Charlie
Before	7 x 5 = 35 u	9 x 2 = 18 u	2 x 10 = 20 u
Change	- 5 x 5 = - 25 u	- 4 x 2 = - 8 u	- 1 x 10 = - 10 u
After	2 x 5 =  10 u	5 x 2 = 10 u	1 x 10 = 10 u

The lowest common multiple of 2, 5 and 1 is 10.

Fraction of the amount left after Bryan spends his money
= 1 - ⁵₇
= ²₇

Fraction of the amount left after Adam spends his money
= 1 - ⁴₉
= ⁵₉

Fraction of the amount left after Charlie spends his money
= 1 - ¹₂
= ¹₂

Make the numerators the same.
2 x 57 x 5 of Bryan's amount = 5 x 29 x 2 of Adam's amount = 1 x 102 x 10 of Charlie's amount
1035 of Bryan's amount = 1018 of Adam's amount = 1020 of Charlie's amount

Total amount that they have at first
= 35 u + 18 u + 20 u
= 73 u

73 u = 1022

1 u = 1022 ÷ 73 = 14

Amount that Bryan spends
= 35 u - 10 u
= 25 u

Amount that Adam spends
= 18 u - 10 u
= 8 u

Amount that Charlie spends
= 20 u - 10 u
= 10 u

Amount that they spend
= 25 u + 8 u + 10 u
= 43 u
= 43 x 14
= $602

Answer(s): $602