Fanny and Emily had equal amount of money. Each day, Fanny spent $13 and Emily spent $23. When Fanny had $120 left, Emily had
34 as much money left as Fanny. How much money did the two girls have at first?
| |
Fanny |
Emily |
| Before |
13 u + 120 |
23 u + 90 |
| Change |
- 13 u |
- 23 u |
| After |
$120 |
$90 |
Amount that Emily had left
=
34 x 120
= $90
The amount that Fanny and Emily had at first is the same.
23 u + 90 = 13 u + 120
23 u - 13 u = 120 - 90
10 u = 30
1 u = 30 ÷ 10 = 3
Amount that Fanny had at first
= 13 u + 120
= 13 x 3 + 120
= 39 + 120
= $159
Total amount that both girls had at first
= 2 x 159
= $318
Answer(s): $318
