Emma and Rachel had equal amount of money. Each day, Emma spent $13 and Rachel spent $21. When Emma had $120 left, Rachel had
13 as much money left as Emma. How much money did the two girls have at first?
| |
Emma |
Rachel |
| Before |
13 u + 120 |
21 u + 40 |
| Change |
- 13 u |
- 21 u |
| After |
$120 |
$40 |
Amount that Rachel had left
=
13 x 120
= $40
The amount that Emma and Rachel had at first is the same.
21 u + 40 = 13 u + 120
21 u - 13 u = 120 - 40
8 u = 80
1 u = 80 ÷ 8 = 10
Amount that Emma had at first
= 13 u + 120
= 13 x 10 + 120
= 130 + 120
= $250
Total amount that both girls had at first
= 2 x 250
= $500
Answer(s): $500
