Victoria's and Jaslyn's savings were in the ratio of 4 : 7. Both of them shared the cost of their cousin's souvenir equally. Victoria's remaining savings was
13 as much as Jaslyn's savings. What percentage of her savings did Victoria spend? Correct the answer to 1 decimal place.
|
Victoria |
Jaslyn |
Difference |
Before |
4x2 = 8 u |
7x2 = 14 u |
3x2 = 6 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
3x3 = 9 u |
2x3 = 6 u |
Since Victoria and Jaslyn shared the cost of their cousin's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Victoria and Jaslyn at first and in the end remains the same. Make the difference in the amounts between Victoria and Jaslyn at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Victoria spent on the souvenir
= 8 u - 3 u
= 5 u
Percentage of her savings that Victoria spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%