Gwen and Xuan had equal amount of money. Each day, Gwen spent $14 and Xuan spent $18. When Gwen had $96 left, Xuan had
13 as much money left as Gwen. How much money did the two girls have at first?
| |
Gwen |
Xuan |
| Before |
14 u + 96 |
18 u + 32 |
| Change |
- 14 u |
- 18 u |
| After |
$96 |
$32 |
Amount that Xuan had left
=
13 x 96
= $32
The amount that Gwen and Xuan had at first is the same.
18 u + 32 = 14 u + 96
18 u - 14 u = 96 - 32
4 u = 64
1 u = 64 ÷ 4 = 16
Amount that Gwen had at first
= 14 u + 96
= 14 x 16 + 96
= 224 + 96
= $320
Total amount that both girls had at first
= 2 x 320
= $640
Answer(s): $640
