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