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