Natalie's and Hilda's savings were in the ratio of 2 : 7. Both of them shared the cost of their uncle's gift equally. Natalie's remaining savings was
15 as much as Hilda's savings. What percentage of her savings did Hilda spend? Correct the answer to 1 decimal place.
|
Natalie |
Hilda |
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 Natalie and Hilda shared the cost of their uncle's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Natalie and Hilda at first and in the end remains the same. Make the difference in the amounts between Natalie and Hilda at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Hilda spent on the gift
= 28 u - 25 u
= 3 u
Percentage of her savings that Hilda spent
=
328 x 100%
≈ 10.7%
Answer(s): 10.7%