The ratio of the amount of money Yen had to the amount of money Kylie had was 4 : 5. Yen then gave
34 of her money to Kylie. In the end, Kylie returned $49 to Yen and they both had the same amount of money. How much money did each girl have at the beginning?
- Kylie
- Yen
|
Yen |
Kylie |
Total |
Before |
4 u |
5 u |
9 u |
Change 1 |
- 3 u |
+ 3 u |
|
After 1 |
1 u |
8 u |
9 u |
Change 2 |
+ 49 |
- 49 |
|
After 2 |
1 u + 49 |
8 u - 49 |
|
Amount that Yen and Kylie each had in the end is the same.
8 u - 49 = 1 u + 49
8 u - 1 u = 49 + 49
7 u = 98
1 u = 98 ÷ 7 = 14
Amount that Yen had at first
= 4 u
= 4 x 14
= $56
(b)
Amount that Kylie had at first
= 5 u
= 5 x 14
= $70
Answer(s): (a) $56; (b) $70