The ratio of the amount of money Shiyun had to the amount of money Lucy had was 6 : 7. Shiyun then gave
56 of her money to Lucy. In the end, Lucy returned $55 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 |
6 u |
7 u |
13 u |
Change 1 |
- 5 u |
+ 5 u |
|
After 1 |
1 u |
12 u |
13 u |
Change 2 |
+ 55 |
- 55 |
|
After 2 |
1 u + 55 |
12 u - 55 |
|
Amount that Shiyun and Lucy each had in the end is the same.
12 u - 55 = 1 u + 55
12 u - 1 u = 55 + 55
11 u = 110
1 u = 110 ÷ 11 = 10
Amount that Shiyun had at first
= 6 u
= 6 x 10
= $60
(b)
Amount that Lucy had at first
= 7 u
= 7 x 10
= $70
Answer(s): (a) $60; (b) $70