The ratio of the amount of money Xandra had to the amount of money Shannon had was 6 : 7. Xandra then gave
56 of her money to Shannon. In the end, Shannon returned $66 to Xandra and they both had the same amount of money. How much money did each girl have at the beginning?
- Shannon
- Xandra
|
Xandra |
Shannon |
Total |
Before |
6 u |
7 u |
13 u |
Change 1 |
- 5 u |
+ 5 u |
|
After 1 |
1 u |
12 u |
13 u |
Change 2 |
+ 66 |
- 66 |
|
After 2 |
1 u + 66 |
12 u - 66 |
|
Amount that Xandra and Shannon each had in the end is the same.
12 u - 66 = 1 u + 66
12 u - 1 u = 66 + 66
11 u = 132
1 u = 132 ÷ 11 = 12
Amount that Xandra had at first
= 6 u
= 6 x 12
= $72
(b)
Amount that Shannon had at first
= 7 u
= 7 x 12
= $84
Answer(s): (a) $72; (b) $84