Ivory, Emily and Mary bought a gift for their nephew. They shared the cost equally between them. Ivory used ⁴₇ of her savings, Emily used ¹₅ of her savings and Mary used ²₉ of her savings. Ivory and Mary had $357 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 4, 1 and 2 = 4

4x17x1 of Ivory's savings = 1x45x4 of Emily's savings = 2x29x2 of Mary savings
47 of Ivory's savings = 420 of Emily's savings = 418 of Mary's savings

	Ivory	Emily	Mary
Before	7 u	20 u	18 u
Change	- 4 u	- 4 u	- 4 u
After	3 u	16 u	14 u

Savings that Ivory had left
= 7 u - 4 u
= 3 u

Savings that Mary had left
= 18 u - 4 u
= 14 u

Total savings that Ivory and Mary had left
= 3 u + 14 u
= 17 u

17 u = 357

1 u = 357 ÷ 17 = 21

Amount that each girl paid
= 4 u
= 4 x 21
= $84

Answer(s): $84