Diana, Gem and Shannon bought a gift for their auntie. They shared the cost equally between them. Diana used ²₇ of her savings, Gem used ⁴₉ of her savings and Shannon used ¹₈ of her savings. Diana and Shannon had $76 left. How much did each girl pay for the gift?
The amount spent by each girl is the same.  Make the numerators the same.
LCM of 2, 4 and 1 = 4

2x27x2 of Diana's savings = 4x19x1 of Gem's savings = 1x48x4 of Shannon savings
414 of Diana's savings = 49 of Gem's savings = 432 of Shannon's savings

	Diana	Gem	Shannon
Before	14 u	9 u	32 u
Change	- 4 u	- 4 u	- 4 u
After	10 u	5 u	28 u

Savings that Diana had left
= 14 u - 4 u
= 10 u

Savings that Shannon had left
= 32 u - 4 u
= 28 u

Total savings that Diana and Shannon had left
= 10 u + 28 u
= 38 u

38 u = 76

1 u = 76 ÷ 38 = 2

Amount that each girl paid
= 4 u
= 4 x 2
= $8

Answer(s): $8