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