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