Eva's and Kathy's savings were in the ratio of 2 : 5. Both of them shared the cost of their grandfather's present equally. Eva's remaining savings was
15 as much as Kathy's savings. What percentage of her savings did Eva spend? Correct the answer to 1 decimal place.
|
Eva |
Kathy |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Eva and Kathy shared the cost of their grandfather's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Eva and Kathy at first and in the end remains the same. Make the difference in the amounts between Eva and Kathy at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Eva spent on the present
= 8 u - 3 u
= 5 u
Percentage of her savings that Eva spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%