Nora's and Victoria's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandmother's gift equally. Nora's remaining savings was
13 as much as Victoria's savings. What percentage of her savings did Victoria spend? Correct the answer to 1 decimal place.
|
Nora |
Victoria |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Nora and Victoria 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 Nora and Victoria at first and in the end remains the same. Make the difference in the amounts between Nora and Victoria at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Victoria spent on the gift
= 18 u - 15 u
= 3 u
Percentage of her savings that Victoria spent
=
318 x 100%
≈ 16.7%
Answer(s): 16.7%