Cathy had $117 more than Eva. Cathy spent
27 of her money and Eva spent
45 of her money. In the end, Cathy had 4 times as much as Eva. Find the amount of money Eva had at first.
| |
Cathy |
Eva |
Comparing Cathy
and Eva at first |
$117 more |
|
| Before |
7x4 =
28 u |
5x5 =
25 u |
| Change |
- 2x4 =
- 8 u |
- 4x5 =
- 20 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Cathy
and Eva in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Cathy had in the end is repeated. Make the amount that Cathy had in the end the same. LCM of 4 and 5 is 20.
Amount that Cathy had more than Eva
= 28 u - 25 u
= 3 u
3 u = 117
1 u = 117 ÷ 3 = 39
Amount that Eva had at first
= 25 u
= 25 x 39
= $975
Answer(s): $975
