Esther's and Xylia's savings were in the ratio of 2 : 7. Both of them shared the cost of their younger sister's souvenir equally. Esther's remaining savings was
15 as much as Xylia's savings. What percentage of her savings did Esther spend? Correct the answer to 1 decimal place.
|
Esther |
Xylia |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Esther and Xylia shared the cost of their younger sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Esther and Xylia at first and in the end remains the same. Make the difference in the amounts between Esther and Xylia at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Esther spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Esther spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%