Eva, Gem and Elyse bought a present for their friend. They shared the cost equally between them. Eva used
49 of her savings, Gem used
34 of her savings and Elyse used
57 of her savings. Eva and Elyse had $1881 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 4, 3 and 5 = 60
4x159x15 of Eva's savings =
3x204x20 of Gem's savings =
5x127x12 of Elyse savings
60135 of Eva's savings =
6080 of Gem's savings =
6084 of Elyse's savings
|
Eva |
Gem |
Elyse |
Before |
135 u |
80 u |
84 u |
Change |
- 60 u |
- 60 u |
- 60 u |
After |
75 u |
20 u |
24 u |
Savings that Eva had left
= 135 u - 60 u
= 75 u
Savings that Elyse had left
= 84 u - 60 u
= 24 u
Total savings that Eva and Elyse had left
= 75 u + 24 u
= 99 u
99 u = 1881
1 u = 1881 ÷ 99 = 19
Amount that each girl paid
= 60 u
= 60 x 19
= $1140
Answer(s): $1140