Tammy, Jean and Gwen bought a gift for their uncle. They shared the cost equally between them. Tammy used ²₇ of her savings, Jean used ⁵₈ of her savings and Gwen used ⁴₅ of her savings. Tammy and Gwen had $1320 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, 5 and 4 = 20

2x107x10 of Tammy's savings = 5x48x4 of Jean's savings = 4x55x5 of Gwen savings
2070 of Tammy's savings = 2032 of Jean's savings = 2025 of Gwen's savings

	Tammy	Jean	Gwen
Before	70 u	32 u	25 u
Change	- 20 u	- 20 u	- 20 u
After	50 u	12 u	5 u

Savings that Tammy had left
= 70 u - 20 u
= 50 u

Savings that Gwen had left
= 25 u - 20 u
= 5 u

Total savings that Tammy and Gwen had left
= 50 u + 5 u
= 55 u

55 u = 1320

1 u = 1320 ÷ 55 = 24

Amount that each girl paid
= 20 u
= 20 x 24
= $480

Answer(s): $480