Xylia's and Sabrina's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's present equally. Xylia's remaining savings was
15 as much as Sabrina's savings. What percentage of her savings did Sabrina spend? Correct the answer to 1 decimal place.
|
Xylia |
Sabrina |
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 Xylia and Sabrina shared the cost of their older sister's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Xylia and Sabrina at first and in the end remains the same. Make the difference in the amounts between Xylia and Sabrina at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Sabrina spent on the present
= 36 u - 25 u
= 11 u
Percentage of her savings that Sabrina spent
=
1136 x 100%
≈ 30.6%
Answer(s): 30.6%