Marion's and Kylie's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's souvenir equally. Marion's remaining savings was
25 as much as Kylie's savings. What percentage of her savings did Kylie spend? Correct the answer to 1 decimal place.
|
Marion |
Kylie |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Marion and Kylie shared the cost of their older sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Marion and Kylie at first and in the end remains the same. Make the difference in the amounts between Marion and Kylie at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Kylie spent on the souvenir
= 27 u - 25 u
= 2 u
Percentage of her savings that Kylie spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%