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