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