Shiyun and Hazel had equal amount of money. Each day, Shiyun spent $13 and Hazel spent $18. When Shiyun had $120 left, Hazel had
12 as much money left as Shiyun. How much money did the two girls have at first?
| |
Shiyun |
Hazel |
| Before |
13 u + 120 |
18 u + 60 |
| Change |
- 13 u |
- 18 u |
| After |
$120 |
$60 |
Amount that Hazel had left
=
12 x 120
= $60
The amount that Shiyun and Hazel had at first is the same.
18 u + 60 = 13 u + 120
18 u - 13 u = 120 - 60
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Shiyun had at first
= 13 u + 120
= 13 x 12 + 120
= 156 + 120
= $276
Total amount that both girls had at first
= 2 x 276
= $552
Answer(s): $552
