Emma and Gwen had equal amount of money. Each day, Emma spent $17 and Gwen spent $21. When Emma had $96 left, Gwen had
13 as much money left as Emma. How much money did the two girls have at first?
| |
Emma |
Gwen |
| Before |
17 u + 96 |
21 u + 32 |
| Change |
- 17 u |
- 21 u |
| After |
$96 |
$32 |
Amount that Gwen had left
=
13 x 96
= $32
The amount that Emma and Gwen had at first is the same.
21 u + 32 = 17 u + 96
21 u - 17 u = 96 - 32
4 u = 64
1 u = 64 ÷ 4 = 16
Amount that Emma had at first
= 17 u + 96
= 17 x 16 + 96
= 272 + 96
= $368
Total amount that both girls had at first
= 2 x 368
= $736
Answer(s): $736
