Elyse and Esther had equal amount of money. Each day, Elyse spent $16 and Esther spent $20. When Elyse had $120 left, Esther had
13 as much money left as Elyse. How much money did the two girls have at first?
| |
Elyse |
Esther |
| Before |
16 u + 120 |
20 u + 40 |
| Change |
- 16 u |
- 20 u |
| After |
$120 |
$40 |
Amount that Esther had left
=
13 x 120
= $40
The amount that Elyse and Esther had at first is the same.
20 u + 40 = 16 u + 120
20 u - 16 u = 120 - 40
4 u = 80
1 u = 80 ÷ 4 = 20
Amount that Elyse had at first
= 16 u + 120
= 16 x 20 + 120
= 320 + 120
= $440
Total amount that both girls had at first
= 2 x 440
= $880
Answer(s): $880
