Yen and Linda had equal amount of money. Each day, Yen spent $6 and Linda spent $8. When Yen had $120 left, Linda had
45 as much money left as Yen. How much money did the two girls have at first?
| |
Yen |
Linda |
| Before |
6 u + 120 |
8 u + 96 |
| Change |
- 6 u |
- 8 u |
| After |
$120 |
$96 |
Amount that Linda had left
=
45 x 120
= $96
The amount that Yen and Linda had at first is the same.
8 u + 96 = 6 u + 120
8 u - 6 u = 120 - 96
2 u = 24
1 u = 24 ÷ 2 = 12
Amount that Yen had at first
= 6 u + 120
= 6 x 12 + 120
= 72 + 120
= $192
Total amount that both girls had at first
= 2 x 192
= $384
Answer(s): $384
