The ratio of the amount of money Shiyun had to the amount of money Lucy had was 4 : 5. Shiyun then gave
34 of her money to Lucy. In the end, Lucy returned $63 to Shiyun and they both had the same amount of money. How much money did each girl have at the beginning?
- Lucy
- Shiyun
|
Shiyun |
Lucy |
Total |
Before |
4 u |
5 u |
9 u |
Change 1 |
- 3 u |
+ 3 u |
|
After 1 |
1 u |
8 u |
9 u |
Change 2 |
+ 63 |
- 63 |
|
After 2 |
1 u + 63 |
8 u - 63 |
|
Amount that Shiyun and Lucy each had in the end is the same.
8 u - 63 = 1 u + 63
8 u - 1 u = 63 + 63
7 u = 126
1 u = 126 ÷ 7 = 18
Amount that Shiyun had at first
= 4 u
= 4 x 18
= $72
(b)
Amount that Lucy had at first
= 5 u
= 5 x 18
= $90
Answer(s): (a) $72; (b) $90