Fanny and Usha had equal amount of money. Each day, Fanny spent $19 and Usha spent $23. When Fanny had $120 left, Usha had
12 as much money left as Fanny. How much money did the two girls have at first?
| |
Fanny |
Usha |
| Before |
19 u + 120 |
23 u + 60 |
| Change |
- 19 u |
- 23 u |
| After |
$120 |
$60 |
Amount that Usha had left
=
12 x 120
= $60
The amount that Fanny and Usha had at first is the same.
23 u + 60 = 19 u + 120
23 u - 19 u = 120 - 60
4 u = 60
1 u = 60 ÷ 4 = 15
Amount that Fanny had at first
= 19 u + 120
= 19 x 15 + 120
= 285 + 120
= $405
Total amount that both girls had at first
= 2 x 405
= $810
Answer(s): $810
