The ratio of the amount of money Betty had to the amount of money Irene had was 7 : 8. Betty then gave
67 of her money to Irene. In the end, Irene returned $52 to Betty and they both had the same amount of money. How much money did each girl have at the beginning?
- Irene
- Betty
|
Betty |
Irene |
Total |
Before |
7 u |
8 u |
15 u |
Change 1 |
- 6 u |
+ 6 u |
|
After 1 |
1 u |
14 u |
15 u |
Change 2 |
+ 52 |
- 52 |
|
After 2 |
1 u + 52 |
14 u - 52 |
|
Amount that Betty and Irene each had in the end is the same.
14 u - 52 = 1 u + 52
14 u - 1 u = 52 + 52
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Betty had at first
= 7 u
= 7 x 8
= $56
(b)
Amount that Irene had at first
= 8 u
= 8 x 8
= $64
Answer(s): (a) $56; (b) $64