Jade, Tammy and Cathy bought a gift for their auntie. They shared the cost equally between them. Jade used ⁵₆ of her savings, Tammy used ³₁₀ of her savings and Cathy used ⁴₇ of her savings. Jade and Cathy had $456 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 5, 3 and 4 = 60

5x126x12 of Jade's savings = 3x2010x20 of Tammy's savings = 4x157x15 of Cathy savings
6072 of Jade's savings = 60200 of Tammy's savings = 60105 of Cathy's savings

	Jade	Tammy	Cathy
Before	72 u	200 u	105 u
Change	- 60 u	- 60 u	- 60 u
After	12 u	140 u	45 u

Savings that Jade had left
= 72 u - 60 u
= 12 u

Savings that Cathy had left
= 105 u - 60 u
= 45 u

Total savings that Jade and Cathy had left
= 12 u + 45 u
= 57 u

57 u = 456

1 u = 456 ÷ 57 = 8

Amount that each girl paid
= 60 u
= 60 x 8
= $480

Answer(s): $480