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