Barbara and Erika had equal amount of money. Each day, Barbara spent $16 and Erika spent $24. When Barbara had $84 left, Erika had
37 as much money left as Barbara. How much money did the two girls have at first?
| |
Barbara |
Erika |
| Before |
16 u + 84 |
24 u + 36 |
| Change |
- 16 u |
- 24 u |
| After |
$84 |
$36 |
Amount that Erika had left
=
37 x 84
= $36
The amount that Barbara and Erika had at first is the same.
24 u + 36 = 16 u + 84
24 u - 16 u = 84 - 36
8 u = 48
1 u = 48 ÷ 8 = 6
Amount that Barbara had at first
= 16 u + 84
= 16 x 6 + 84
= 96 + 84
= $180
Total amount that both girls had at first
= 2 x 180
= $360
Answer(s): $360
