Hilda's and Lucy's savings were in the ratio of 2 : 7. Both of them shared the cost of their mother's present equally. Hilda's remaining savings was
15 as much as Lucy's savings. What percentage of her savings did Lucy spend? Correct the answer to 1 decimal place.
|
Hilda |
Lucy |
Difference |
Before |
2x4 = 8 u |
7x4 = 28 u |
5x4 = 20 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Hilda and Lucy 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 Hilda and Lucy at first and in the end remains the same. Make the difference in the amounts between Hilda and Lucy at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Lucy spent on the present
= 28 u - 25 u
= 3 u
Percentage of her savings that Lucy spent
=
328 x 100%
≈ 10.7%
Answer(s): 10.7%