Victoria and Diana had equal amount of money. Each day, Victoria spent $5 and Diana spent $10. When Victoria had $120 left, Diana had
23 as much money left as Victoria. How much money did the two girls have at first?
| |
Victoria |
Diana |
| Before |
5 u + 120 |
10 u + 80 |
| Change |
- 5 u |
- 10 u |
| After |
$120 |
$80 |
Amount that Diana had left
=
23 x 120
= $80
The amount that Victoria and Diana had at first is the same.
10 u + 80 = 5 u + 120
10 u - 5 u = 120 - 80
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Victoria had at first
= 5 u + 120
= 5 x 8 + 120
= 40 + 120
= $160
Total amount that both girls had at first
= 2 x 160
= $320
Answer(s): $320
