Abi, Irene and Penelope bought a present for their uncle. They shared the cost equally between them. Abi used ¹₆ of her savings, Irene used ²₉ of her savings and Penelope used ⁵₆ of her savings. Abi and Penelope had $416 left. How much did each girl pay for the present?
The amount spent by each girl is the same.  Make the numerators the same.
LCM of 1, 2 and 5 = 10

1x106x10 of Abi's savings = 2x59x5 of Irene's savings = 5x26x2 of Penelope savings
1060 of Abi's savings = 1045 of Irene's savings = 1012 of Penelope's savings

	Abi	Irene	Penelope
Before	60 u	45 u	12 u
Change	- 10 u	- 10 u	- 10 u
After	50 u	35 u	2 u

Savings that Abi had left
= 60 u - 10 u
= 50 u

Savings that Penelope had left
= 12 u - 10 u
= 2 u

Total savings that Abi and Penelope had left
= 50 u + 2 u
= 52 u

52 u = 416

1 u = 416 ÷ 52 = 8

Amount that each girl paid
= 10 u
= 10 x 8
= $80

Answer(s): $80