Marion had $200 more than Penelope. Marion spent
47 of her money and Penelope spent
56 of her money. In the end, Marion had 4 times as much as Penelope. Find the amount of money Penelope had at first.
| |
Marion |
Penelope |
Comparing Marion
and Penelope at first |
$200 more |
|
| Before |
7x4 =
28 u |
6x3 =
18 u |
| Change |
- 4x4 =
- 16 u |
- 5x3 =
- 15 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Marion
and Penelope in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Marion had in the end is repeated. Make the amount that Marion had in the end the same. LCM of 4 and 3 is 12.
Amount that Marion had more than Penelope
= 28 u - 18 u
= 10 u
10 u = 200
1 u = 200 ÷ 10 = 20
Amount that Penelope had at first
= 18 u
= 18 x 20
= $360
Answer(s): $360
