Roshel, Jade and Shiyun bought a souvenir for their nephew. They shared the cost equally between them. Roshel used
38 of her savings, Jade used
59 of her savings and Shiyun used
25 of her savings. Roshel and Shiyun had $1615 left. How much did each girl pay for the souvenir?
The amount spent by each girl is the same. Make the numerators the same.
LCM of 3, 5 and 2 = 30
3x108x10 of Roshel's savings =
5x69x6 of Jade's savings =
2x155x15 of Shiyun savings
3080 of Roshel's savings =
3054 of Jade's savings =
3075 of Shiyun's savings
|
Roshel |
Jade |
Shiyun |
Before |
80 u |
54 u |
75 u |
Change |
- 30 u |
- 30 u |
- 30 u |
After |
50 u |
24 u |
45 u |
Savings that Roshel had left
= 80 u - 30 u
= 50 u
Savings that Shiyun had left
= 75 u - 30 u
= 45 u
Total savings that Roshel and Shiyun had left
= 50 u + 45 u
= 95 u
95 u = 1615
1 u = 1615 ÷ 95 = 17
Amount that each girl paid
= 30 u
= 30 x 17
= $510
Answer(s): $510