Winnie, Dana and Pamela bought a gift for their friend. They shared the cost equally between them. Winnie used
16 of her savings, Dana used
45 of her savings and Pamela used
34 of her savings. Winnie and Pamela had $1472 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 1, 4 and 3 = 12
1x126x12 of Winnie's savings =
4x35x3 of Dana's savings =
3x44x4 of Pamela savings
1272 of Winnie's savings =
1215 of Dana's savings =
1216 of Pamela's savings
|
Winnie |
Dana |
Pamela |
Before |
72 u |
15 u |
16 u |
Change |
- 12 u |
- 12 u |
- 12 u |
After |
60 u |
3 u |
4 u |
Savings that Winnie had left
= 72 u - 12 u
= 60 u
Savings that Pamela had left
= 16 u - 12 u
= 4 u
Total savings that Winnie and Pamela had left
= 60 u + 4 u
= 64 u
64 u = 1472
1 u = 1472 ÷ 64 = 23
Amount that each girl paid
= 12 u
= 12 x 23
= $276
Answer(s): $276