The ratio of the amount of money Tiffany had to the amount of money Kathy had was 4 : 5. Tiffany then gave
34 of her money to Kathy. In the end, Kathy returned $77 to Tiffany and they both had the same amount of money. How much money did each girl have at the beginning?
- Kathy
- Tiffany
|
Tiffany |
Kathy |
Total |
Before |
4 u |
5 u |
9 u |
Change 1 |
- 3 u |
+ 3 u |
|
After 1 |
1 u |
8 u |
9 u |
Change 2 |
+ 77 |
- 77 |
|
After 2 |
1 u + 77 |
8 u - 77 |
|
Amount that Tiffany and Kathy each had in the end is the same.
8 u - 77 = 1 u + 77
8 u - 1 u = 77 + 77
7 u = 154
1 u = 154 ÷ 7 = 22
Amount that Tiffany had at first
= 4 u
= 4 x 22
= $88
(b)
Amount that Kathy had at first
= 5 u
= 5 x 22
= $110
Answer(s): (a) $88; (b) $110