Cathy had $400 less than Eva. Eva spent 0.8 of her money and Cathy spent 30% of her money. In the end, Eva and Cathy had the same amount of money left. Find the amount of money that Eva had at first.
|
Cathy |
Eva |
Comparing Eva and Cathy at first |
|
400 more |
Before |
10x1 = 10 u |
5x7 = 35 u |
Change |
- 3x1 = - 3 u |
- 4x7 = - 28 u |
After |
7x1 = 7 u |
1x7 = 7 u |
0.8 =
810 =
45 30% =
30100 =
310 Cathy and Eva had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 1 and 7 is 7.
Amount that Cathy had less than Eva at first
= 35 u - 10 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Eva had at first
= 35 u
= 35 x 16
= $560
Answer(s): $560