Penelope and Kathy went shopping together. Penelope brought thrice as much money as Kathy. After Penelope had spent $760 and Kathy had spent $210, they had an equal amount of money left. How much money did each of them have at first?
- Kathy
- Penelope
|
Penelope |
Kathy |
Before |
3 u |
1 u |
Change |
- $760 |
- $210 |
After |
3 u - $760 |
1 u - $210 |
(a)
The amounts that Penelope and Kathy had in the end are the same.
3 u - 760 = 1 u - 210
3 u - 1 u = 760 - 210
2 u = 550
1 u = 550 ÷ 2 = 275
Amount that Kathy had at first
= 1 u
= $275
(b)
Amount that Penelope had at first
= 3 u
= 3 x 275
= $825
Answer(s): (a) $275, (b) $825