Esther's and Jean's savings were in the ratio of 4 : 9. Both of them shared the cost of their mother's souvenir equally. Esther's remaining savings was
13 as much as Jean's savings. What percentage of her savings did Jean spend? Correct the answer to 1 decimal place.
|
Esther |
Jean |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Esther and Jean shared the cost of their mother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Esther and Jean at first and in the end remains the same. Make the difference in the amounts between Esther and Jean at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Jean spent on the souvenir
= 18 u - 15 u
= 3 u
Percentage of her savings that Jean spent
=
318 x 100%
≈ 16.7%
Answer(s): 16.7%