Mary's and Jane's savings were in the ratio of 4 : 7. Both of them shared the cost of their uncle's present equally. Mary's remaining savings was
13 as much as Jane's savings. What percentage of her savings did Jane spend? Correct the answer to 1 decimal place.
|
Mary |
Jane |
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 Mary and Jane shared the cost of their uncle's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Mary and Jane at first and in the end remains the same. Make the difference in the amounts between Mary and Jane at first and in the end the same. LCM of 3 and 2 is 6.
Amount that Jane spent on the present
= 14 u - 9 u
= 5 u
Percentage of her savings that Jane spent
=
514 x 100%
≈ 35.7%
Answer(s): 35.7%