Jean's and Marion's savings were in the ratio of 4 : 7. Both of them shared the cost of their auntie's souvenir equally. Jean's remaining savings was
15 as much as Marion's savings. What percentage of her savings did Jean spend? Correct the answer to 1 decimal place.
|
Jean |
Marion |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Jean and Marion 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 Jean and Marion at first and in the end remains the same. Make the difference in the amounts between Jean and Marion at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Jean spent on the souvenir
= 16 u - 3 u
= 13 u
Percentage of her savings that Jean spent
=
1316 x 100%
≈ 81.3%
Answer(s): 81.3%