Xandra and Penelope had equal amount of money. Each day, Xandra spent $13 and Penelope spent $22. When Xandra had $105 left, Penelope had
17 as much money left as Xandra. How much money did the two girls have at first?
| |
Xandra |
Penelope |
| Before |
13 u + 105 |
22 u + 15 |
| Change |
- 13 u |
- 22 u |
| After |
$105 |
$15 |
Amount that Penelope had left
=
17 x 105
= $15
The amount that Xandra and Penelope had at first is the same.
22 u + 15 = 13 u + 105
22 u - 13 u = 105 - 15
9 u = 90
1 u = 90 ÷ 9 = 10
Amount that Xandra had at first
= 13 u + 105
= 13 x 10 + 105
= 130 + 105
= $235
Total amount that both girls had at first
= 2 x 235
= $470
Answer(s): $470
