Emma and Min had equal amount of money. Each day, Emma spent $7 and Min spent $9. When Emma had $120 left, Min had
23 as much money left as Emma. How much money did the two girls have at first?
| |
Emma |
Min |
| Before |
7 u + 120 |
9 u + 80 |
| Change |
- 7 u |
- 9 u |
| After |
$120 |
$80 |
Amount that Min had left
=
23 x 120
= $80
The amount that Emma and Min had at first is the same.
9 u + 80 = 7 u + 120
9 u - 7 u = 120 - 80
2 u = 40
1 u = 40 ÷ 2 = 20
Amount that Emma had at first
= 7 u + 120
= 7 x 20 + 120
= 140 + 120
= $260
Total amount that both girls had at first
= 2 x 260
= $520
Answer(s): $520
