Emily's and Gabby's savings were in the ratio of 4 : 9. Both of them shared the cost of their older sister's present equally. Emily's remaining savings was
14 as much as Gabby's savings. What percentage of her savings did Gabby spend? Correct the answer to 1 decimal place.
|
Emily |
Gabby |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 7 u |
- 7 u |
|
After |
1x5 = 5 u |
4x5 = 20 u |
3x5 = 15 u |
Since Emily and Gabby shared the cost of their older sister's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Emily and Gabby at first and in the end remains the same. Make the difference in the amounts between Emily and Gabby at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Gabby spent on the present
= 27 u - 20 u
= 7 u
Percentage of her savings that Gabby spent
=
727 x 100%
≈ 25.9%
Answer(s): 25.9%