Linda had $175 more than Eva. Linda spent
37 of her money and Eva spent
34 of her money. In the end, Linda had 3 times as much as Eva. Find the amount of money Eva had at first.
| |
Linda |
Eva |
Comparing Linda
and Eva at first |
$175 more |
|
| Before |
7x3 =
21 u |
4x4 =
16 u |
| Change |
- 3x3 =
- 9 u |
- 3x4 =
- 12 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Linda
and Eva in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Linda had in the end is repeated. Make the amount that Linda had in the end the same. LCM of 3 and 4 is 12.
Amount that Linda had more than Eva
= 21 u - 16 u
= 5 u
5 u = 175
1 u = 175 ÷ 5 = 35
Amount that Eva had at first
= 16 u
= 16 x 35
= $560
Answer(s): $560
