Fanny had $400 more than Penelope. Fanny spent
25 of her money and Penelope spent
34 of her money. In the end, Fanny had 4 times as much as Penelope. Find the amount of money Penelope had at first.
| |
Fanny |
Penelope |
Comparing Fanny
and Penelope at first |
$400 more |
|
| Before |
5x4 =
20 u |
4x3 =
12 u |
| Change |
- 2x4 =
- 8 u |
- 3x3 =
- 9 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Fanny
and Penelope in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Fanny had in the end is repeated. Make the amount that Fanny had in the end the same. LCM of 4 and 3 is 12.
Amount that Fanny had more than Penelope
= 20 u - 12 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
Amount that Penelope had at first
= 12 u
= 12 x 50
= $600
Answer(s): $600
