Betty and Elyse had equal amount of money. Each day, Betty spent $15 and Elyse spent $24. When Betty had $108 left, Elyse had
112 as much money left as Betty. How much money did the two girls have at first?
| |
Betty |
Elyse |
| Before |
15 u + 108 |
24 u + 9 |
| Change |
- 15 u |
- 24 u |
| After |
$108 |
$9 |
Amount that Elyse had left
=
112 x 108
= $9
The amount that Betty and Elyse had at first is the same.
24 u + 9 = 15 u + 108
24 u - 15 u = 108 - 9
9 u = 99
1 u = 99 ÷ 9 = 11
Amount that Betty had at first
= 15 u + 108
= 15 x 11 + 108
= 165 + 108
= $273
Total amount that both girls had at first
= 2 x 273
= $546
Answer(s): $546
