Emily and Rachel had equal amount of money. Each day, Emily spent $4 and Rachel spent $10. When Emily had $96 left, Rachel had
12 as much money left as Emily. How much money did the two girls have at first?
| |
Emily |
Rachel |
| Before |
4 u + 96 |
10 u + 48 |
| Change |
- 4 u |
- 10 u |
| After |
$96 |
$48 |
Amount that Rachel had left
=
12 x 96
= $48
The amount that Emily and Rachel had at first is the same.
10 u + 48 = 4 u + 96
10 u - 4 u = 96 - 48
6 u = 48
1 u = 48 ÷ 6 = 8
Amount that Emily had at first
= 4 u + 96
= 4 x 8 + 96
= 32 + 96
= $128
Total amount that both girls had at first
= 2 x 128
= $256
Answer(s): $256
