Gwen, Nicole and Pamela bought a present for their neighbour. They shared the cost equally between them. Gwen used
59 of her savings, Nicole used
14 of her savings and Pamela used
34 of her savings. Gwen and Pamela had $187 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 5, 1 and 3 = 15
5x39x3 of Gwen's savings =
1x154x15 of Nicole's savings =
3x54x5 of Pamela savings
1527 of Gwen's savings =
1560 of Nicole's savings =
1520 of Pamela's savings
|
Gwen |
Nicole |
Pamela |
Before |
27 u |
60 u |
20 u |
Change |
- 15 u |
- 15 u |
- 15 u |
After |
12 u |
45 u |
5 u |
Savings that Gwen had left
= 27 u - 15 u
= 12 u
Savings that Pamela had left
= 20 u - 15 u
= 5 u
Total savings that Gwen and Pamela had left
= 12 u + 5 u
= 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Amount that each girl paid
= 15 u
= 15 x 11
= $165
Answer(s): $165