Bryan, Charlie and Adam have $1104.
After Bryan spends ³₅ of his money,
Charlie spends ²₇ of his money and
Adam spends ²₃ of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.

	Bryan	Charlie	Adam
Before	5 x 5 = 25 u	7 x 2 = 14 u	3 x 10 = 30 u
Change	- 3 x 5 = - 15 u	- 2 x 2 = - 4 u	- 2 x 10 = - 20 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 - ³₅
= ²₅

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

Fraction of the amount left after Adam spends his money
= 1 - ²₃
= ¹₃

Make the numerators the same.
2 x 55 x 5 of Bryan's amount = 5 x 27 x 2 of Charlie's amount = 1 x 103 x 10 of Adam's amount
1025 of Bryan's amount = 1014 of Charlie's amount = 1030 of Adam's amount

Total amount that they have at first
= 25 u + 14 u + 30 u
= 69 u

69 u = 1104

1 u = 1104 ÷ 69 = 16

Amount that Bryan spends
= 25 u - 10 u
= 15 u

Amount that Charlie spends
= 14 u - 10 u
= 4 u

Amount that Adam spends
= 30 u - 10 u
= 20 u

Amount that they spend
= 15 u + 4 u + 20 u
= 39 u
= 39 x 16
= $624

Answer(s): $624