Lucy and Rachel had equal amount of money. Each day, Lucy spent $13 and Rachel spent $19. When Lucy had $99 left, Rachel had
13 as much money left as Lucy. How much money did the two girls have at first?
| |
Lucy |
Rachel |
| Before |
13 u + 99 |
19 u + 33 |
| Change |
- 13 u |
- 19 u |
| After |
$99 |
$33 |
Amount that Rachel had left
=
13 x 99
= $33
The amount that Lucy and Rachel had at first is the same.
19 u + 33 = 13 u + 99
19 u - 13 u = 99 - 33
6 u = 66
1 u = 66 ÷ 6 = 11
Amount that Lucy had at first
= 13 u + 99
= 13 x 11 + 99
= 143 + 99
= $242
Total amount that both girls had at first
= 2 x 242
= $484
Answer(s): $484
