Eva's and Mary's savings were in the ratio of 4 : 9. Both of them shared the cost of their cousin's present equally. Eva's remaining savings was
15 as much as Mary's savings. What percentage of her savings did Mary spend? Correct the answer to 1 decimal place.
|
Eva |
Mary |
Difference |
Before |
4x4 = 16 u |
9x4 = 36 u |
5x4 = 20 u |
Change |
- 11 u |
- 11 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Eva and Mary shared the cost of their cousin's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Eva and Mary at first and in the end remains the same. Make the difference in the amounts between Eva and Mary at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Mary spent on the present
= 36 u - 25 u
= 11 u
Percentage of her savings that Mary spent
=
1136 x 100%
≈ 30.6%
Answer(s): 30.6%