The ratio of the amount of money Xandra had to the amount of money Emma had was 7 : 8. Xandra then gave
67 of her money to Emma. In the end, Emma returned $65 to Xandra and they both had the same amount of money. How much money did each girl have at the beginning?
- Emma
- Xandra
|
Xandra |
Emma |
Total |
Before |
7 u |
8 u |
15 u |
Change 1 |
- 6 u |
+ 6 u |
|
After 1 |
1 u |
14 u |
15 u |
Change 2 |
+ 65 |
- 65 |
|
After 2 |
1 u + 65 |
14 u - 65 |
|
Amount that Xandra and Emma each had in the end is the same.
14 u - 65 = 1 u + 65
14 u - 1 u = 65 + 65
13 u = 130
1 u = 130 ÷ 13 = 10
Amount that Xandra had at first
= 7 u
= 7 x 10
= $70
(b)
Amount that Emma had at first
= 8 u
= 8 x 10
= $80
Answer(s): (a) $70; (b) $80