Roshel and Rachel had equal amount of money. Each day, Roshel spent $17 and Rachel spent $19. When Roshel had $81 left, Rachel had
13 as much money left as Roshel. How much money did the two girls have at first?
| |
Roshel |
Rachel |
| Before |
17 u + 81 |
19 u + 27 |
| Change |
- 17 u |
- 19 u |
| After |
$81 |
$27 |
Amount that Rachel had left
=
13 x 81
= $27
The amount that Roshel and Rachel had at first is the same.
19 u + 27 = 17 u + 81
19 u - 17 u = 81 - 27
2 u = 54
1 u = 54 ÷ 2 = 27
Amount that Roshel had at first
= 17 u + 81
= 17 x 27 + 81
= 459 + 81
= $540
Total amount that both girls had at first
= 2 x 540
= $1080
Answer(s): $1080
