Wendy's and Erika's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's gift equally. Wendy's remaining savings was
14 as much as Erika's savings. What percentage of her savings did Erika spend? Correct the answer to 1 decimal place.
|
Wendy |
Erika |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 7 u |
- 7 u |
|
After |
1x5 = 5 u |
4x5 = 20 u |
3x5 = 15 u |
Since Wendy and Erika shared the cost of their older sister's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Wendy and Erika at first and in the end remains the same. Make the difference in the amounts between Wendy and Erika at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Erika spent on the gift
= 27 u - 20 u
= 7 u
Percentage of her savings that Erika spent
=
727 x 100%
≈ 25.9%
Answer(s): 25.9%