Linda's and Emma's savings were in the ratio of 4 : 9. Both of them shared the cost of their father's present equally. Linda's remaining savings was
14 as much as Emma's savings. What percentage of her savings did Linda spend? Correct the answer to 1 decimal place.
|
Linda |
Emma |
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 Linda and Emma shared the cost of their father's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Linda and Emma at first and in the end remains the same. Make the difference in the amounts between Linda and Emma at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Linda spent on the present
= 12 u - 5 u
= 7 u
Percentage of her savings that Linda spent
=
712 x 100%
≈ 58.3%
Answer(s): 58.3%