Sarah's and Victoria's savings were in the ratio of 4 : 9. Both of them shared the cost of their older brother's present equally. Sarah's remaining savings was
25 as much as Victoria's savings. What percentage of her savings did Victoria spend? Correct the answer to 1 decimal place.
|
Sarah |
Victoria |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Sarah and Victoria shared the cost of their older brother's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Sarah and Victoria at first and in the end remains the same. Make the difference in the amounts between Sarah and Victoria at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Victoria spent on the present
= 27 u - 25 u
= 2 u
Percentage of her savings that Victoria spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%