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