Xylia's and Emily's savings were in the ratio of 4 : 9. Both of them shared the cost of their uncle's present equally. Xylia's remaining savings was
25 as much as Emily's savings. What percentage of her savings did Xylia spend? Correct the answer to 1 decimal place.
|
Xylia |
Emily |
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 Xylia and Emily shared the cost of their uncle's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Xylia and Emily at first and in the end remains the same. Make the difference in the amounts between Xylia and Emily at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Xylia spent on the present
= 12 u - 10 u
= 2 u
Percentage of her savings that Xylia spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%