Zoe and Yen had equal amount of money. Each day, Zoe spent $4 and Yen spent $7. When Zoe had $105 left, Yen had
45 as much money left as Zoe. How much money did the two girls have at first?
| |
Zoe |
Yen |
| Before |
4 u + 105 |
7 u + 84 |
| Change |
- 4 u |
- 7 u |
| After |
$105 |
$84 |
Amount that Yen had left
=
45 x 105
= $84
The amount that Zoe and Yen had at first is the same.
7 u + 84 = 4 u + 105
7 u - 4 u = 105 - 84
3 u = 21
1 u = 21 ÷ 3 = 7
Amount that Zoe had at first
= 4 u + 105
= 4 x 7 + 105
= 28 + 105
= $133
Total amount that both girls had at first
= 2 x 133
= $266
Answer(s): $266
