Marion had $144 more than Cathy. Marion spent
35 of her money and Cathy spent
56 of her money. In the end, Marion had 4 times as much as Cathy. Find the amount of money Cathy had at first.
| |
Marion |
Cathy |
Comparing Marion
and Cathy at first |
$144 more |
|
| Before |
5x2 =
10 u |
6x1 =
6 u |
| Change |
- 3x2 =
- 6 u |
- 5x1 =
- 5 u |
| After |
2x2 =
4 u |
1x1 =
1 u |
Comparing Marion
and Cathy in the end |
4x1 =
4 u |
1x1 =
1 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 2 is 4.
Amount that Marion had more than Cathy
= 10 u - 6 u
= 4 u
4 u = 144
1 u = 144 ÷ 4 = 36
Amount that Cathy had at first
= 6 u
= 6 x 36
= $216
Answer(s): $216
