Penelope had $700 more than Fanny. Penelope spent
58 of her money and Fanny spent
56 of her money. In the end, Penelope had 4 times as much as Fanny. Find the amount of money Fanny had at first.
| |
Penelope |
Fanny |
Comparing Penelope
and Fanny at first |
$700 more |
|
| Before |
8x4 =
32 u |
6x3 =
18 u |
| Change |
- 5x4 =
- 20 u |
- 5x3 =
- 15 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Penelope
and Fanny in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Penelope had in the end is repeated. Make the amount that Penelope had in the end the same. LCM of 4 and 3 is 12.
Amount that Penelope had more than Fanny
= 32 u - 18 u
= 14 u
14 u = 700
1 u = 700 ÷ 14 = 50
Amount that Fanny had at first
= 18 u
= 18 x 50
= $900
Answer(s): $900
