Kathy's and Sabrina's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandmother's souvenir equally. Kathy's remaining savings was
15 as much as Sabrina's savings. What percentage of her savings did Sabrina spend? Correct the answer to 1 decimal place.
|
Kathy |
Sabrina |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Kathy and Sabrina shared the cost of their grandmother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Kathy and Sabrina at first and in the end remains the same. Make the difference in the amounts between Kathy and Sabrina at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Sabrina spent on the souvenir
= 28 u - 15 u
= 13 u
Percentage of her savings that Sabrina spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%