Penelope had $238 more than Roshel. Penelope spent
35 of her money and Roshel spent
23 of her money. In the end, Penelope had 4 times as much as Roshel. Find the amount of money Roshel had at first.
| |
Penelope |
Roshel |
Comparing Penelope
and Roshel at first |
$238 more |
|
| Before |
5x2 =
10 u |
3x1 =
3 u |
| Change |
- 3x2 =
- 6 u |
- 2x1 =
- 2 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Penelope
and Roshel in the end |
4x1 =
4 u |
1x1 =
1 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 2 is 4.
Amount that Penelope had more than Roshel
= 10 u - 3 u
= 7 u
7 u = 238
1 u = 238 ÷ 7 = 34
Amount that Roshel had at first
= 3 u
= 3 x 34
= $102
Answer(s): $102
