Xylia, Marion and Betty bought a present for their neighbour. They shared the cost equally between them. Xylia used
25 of her savings, Marion used
35 of her savings and Betty used
56 of her savings. Xylia and Betty had $357 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 2, 3 and 5 = 30
2x155x15 of Xylia's savings =
3x105x10 of Marion's savings =
5x66x6 of Betty savings
3075 of Xylia's savings =
3050 of Marion's savings =
3036 of Betty's savings
|
Xylia |
Marion |
Betty |
Before |
75 u |
50 u |
36 u |
Change |
- 30 u |
- 30 u |
- 30 u |
After |
45 u |
20 u |
6 u |
Savings that Xylia had left
= 75 u - 30 u
= 45 u
Savings that Betty had left
= 36 u - 30 u
= 6 u
Total savings that Xylia and Betty had left
= 45 u + 6 u
= 51 u
51 u = 357
1 u = 357 ÷ 51 = 7
Amount that each girl paid
= 30 u
= 30 x 7
= $210
Answer(s): $210