Esther, Irene and Vanessa bought a present for their niece. They shared the cost equally between them. Esther used ³₁₀ of her savings, Irene used ²₉ of her savings and Vanessa used ¹₉ of her savings. Esther and Vanessa had $248 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 3, 2 and 1 = 6

3x210x2 of Esther's savings = 2x39x3 of Irene's savings = 1x69x6 of Vanessa savings
620 of Esther's savings = 627 of Irene's savings = 654 of Vanessa's savings

	Esther	Irene	Vanessa
Before	20 u	27 u	54 u
Change	- 6 u	- 6 u	- 6 u
After	14 u	21 u	48 u

Savings that Esther had left
= 20 u - 6 u
= 14 u

Savings that Vanessa had left
= 54 u - 6 u
= 48 u

Total savings that Esther and Vanessa had left
= 14 u + 48 u
= 62 u

62 u = 248

1 u = 248 ÷ 62 = 4

Amount that each girl paid
= 6 u
= 6 x 4
= $24

Answer(s): $24