Zoe and Fanny had equal amount of money. Each day, Zoe spent $13 and Fanny spent $22. When Zoe had $108 left, Fanny had
34 as much money left as Zoe. How much money did the two girls have at first?
| |
Zoe |
Fanny |
| Before |
13 u + 108 |
22 u + 81 |
| Change |
- 13 u |
- 22 u |
| After |
$108 |
$81 |
Amount that Fanny had left
=
34 x 108
= $81
The amount that Zoe and Fanny had at first is the same.
22 u + 81 = 13 u + 108
22 u - 13 u = 108 - 81
9 u = 27
1 u = 27 ÷ 9 = 3
Amount that Zoe had at first
= 13 u + 108
= 13 x 3 + 108
= 39 + 108
= $147
Total amount that both girls had at first
= 2 x 147
= $294
Answer(s): $294
