Elyse's and Sabrina's savings were in the ratio of 2 : 5. Both of them shared the cost of their older sister's gift equally. Elyse's remaining savings was
15 as much as Sabrina's savings. What percentage of her savings did Elyse spend? Correct the answer to 1 decimal place.
|
Elyse |
Sabrina |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Elyse and Sabrina shared the cost of their older sister's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Elyse and Sabrina at first and in the end remains the same. Make the difference in the amounts between Elyse and Sabrina at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Elyse spent on the gift
= 8 u - 3 u
= 5 u
Percentage of her savings that Elyse spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%