Sarah's and Cathy's savings were in the ratio of 4 : 9. Both of them shared the cost of their father's present equally. Sarah's remaining savings was
25 as much as Cathy's savings. What percentage of her savings did Sarah spend? Correct the answer to 1 decimal place.
|
Sarah |
Cathy |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Sarah and Cathy shared the cost of their father's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Sarah and Cathy at first and in the end remains the same. Make the difference in the amounts between Sarah and Cathy at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Sarah spent on the present
= 12 u - 10 u
= 2 u
Percentage of her savings that Sarah spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%