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