Cindy had $60 less than Penelope. Penelope spent
35 of her money and Cindy spent
56 of her money. In the end, Penelope had 3 times as much as Cindy. Find the amount of money Penelope had at first.
| |
Penelope |
Cindy |
Comparing Penelope
and Cindy at first |
$60 more |
|
| Before |
5x3 =
15 u |
6x2 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 5x2 =
- 10 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Penelope
and Cindy in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Penelope had in the end is repeated. Make the amount that Penelope had in the end the same. LCM of 3 and 2 is 6.
Amount that Cindy had less than Penelope
= 15 u - 12 u
= 3 u
3 u = 60
1 u = 60 ÷ 3 = 20
Amount that Penelope had at first
= 15 u
= 15 x 20
= $300
Answer(s): $300
