Emma's and Kylie's savings were in the ratio of 4 : 9. Both of them shared the cost of their auntie's gift equally. Emma's remaining savings was
15 as much as Kylie's savings. What percentage of her savings did Emma spend? Correct the answer to 1 decimal place.
|
Emma |
Kylie |
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 Emma and Kylie shared the cost of their auntie's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Emma and Kylie at first and in the end remains the same. Make the difference in the amounts between Emma and Kylie at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Emma spent on the gift
= 16 u - 5 u
= 11 u
Percentage of her savings that Emma spent
=
1116 x 100%
≈ 68.8%
Answer(s): 68.8%