The ratio of the amount of money Anna had to the amount of money Ivory had was 4 : 5. Anna then gave
34 of her money to Ivory. In the end, Ivory returned $49 to Anna and they both had the same amount of money. How much money did each girl have at the beginning?
- Ivory
- Anna
|
Anna |
Ivory |
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 Anna and Ivory 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 Anna had at first
= 4 u
= 4 x 14
= $56
(b)
Amount that Ivory had at first
= 5 u
= 5 x 14
= $70
Answer(s): (a) $56; (b) $70