Hilda's and Cathy's savings were in the ratio of 2 : 5. Both of them shared the cost of their father's gift equally. Hilda's remaining savings was
15 as much as Cathy's savings. What percentage of her savings did Hilda spend? Correct the answer to 1 decimal place.
|
Hilda |
Cathy |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Hilda and Cathy shared the cost of their father's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Hilda and Cathy at first and in the end remains the same. Make the difference in the amounts between Hilda and Cathy at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Hilda spent on the gift
= 8 u - 3 u
= 5 u
Percentage of her savings that Hilda spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%