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