Bryan, Charlie and Adam have $351.
After Bryan spends ³₄ of his money,
Charlie spends ¹₅ of his money and
Adam spends ¹₃ of his money,
they have equal amount of money left.
Find the total amount that the 3 children spend.

	Bryan	Charlie	Adam
Before	4 x 4 = 16 u	5 x 1 = 5 u	3 x 2 = 6 u
Change	- 3 x 4 = - 12 u	- 1 x 1 = - 1 u	- 1 x 2 = - 2 u
After	1 x 4 =  4 u	4 x 1 = 4 u	2 x 2 = 4 u

The lowest common multiple of 1, 4 and 2 is 4.

Fraction of the amount left after Bryan spends his money
= 1 - ³₄
= ¹₄

Fraction of the amount left after Charlie spends his money
= 1 - ¹₅
= ⁴₅

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

Make the numerators the same.
1 x 44 x 4 of Bryan's amount = 4 x 15 x 1 of Charlie's amount = 2 x 23 x 2 of Adam's amount
416 of Bryan's amount = 45 of Charlie's amount = 46 of Adam's amount

Total amount that they have at first
= 16 u + 5 u + 6 u
= 27 u

27 u = 351

1 u = 351 ÷ 27 = 13

Amount that Bryan spends
= 16 u - 4 u
= 12 u

Amount that Charlie spends
= 5 u - 4 u
= 1 u

Amount that Adam spends
= 6 u - 4 u
= 2 u

Amount that they spend
= 12 u + 1 u + 2 u
= 15 u
= 15 x 13
= $195

Answer(s): $195