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