Penelope had $315 more than Jean. Penelope spent
58 of her money and Jean spent
23 of her money. In the end, Penelope had 2 times as much as Jean. Find the amount of money Jean had at first.
| |
Penelope |
Jean |
Comparing Penelope
and Jean at first |
$315 more |
|
| Before |
8x2 =
16 u |
3x3 =
9 u |
| Change |
- 5x2 =
- 10 u |
- 2x3 =
- 6 u |
| After |
3x2 =
6 u |
1x3 =
3 u |
Comparing Penelope
and Jean in the end |
2x3 =
6 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 2 and 3 is 6.
Amount that Penelope had more than Jean
= 16 u - 9 u
= 7 u
7 u = 315
1 u = 315 ÷ 7 = 45
Amount that Jean had at first
= 9 u
= 9 x 45
= $405
Answer(s): $405
