Emma's and Abi's savings were in the ratio of 4 : 7. Both of them shared the cost of their cousin's present equally. Emma's remaining savings was
15 as much as Abi's savings. What percentage of her savings did Abi spend? Correct the answer to 1 decimal place.
|
Emma |
Abi |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Emma and Abi shared the cost of their cousin's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Emma and Abi at first and in the end remains the same. Make the difference in the amounts between Emma and Abi at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Abi spent on the present
= 28 u - 15 u
= 13 u
Percentage of her savings that Abi spent
=
1328 x 100%
≈ 46.4%
Answer(s): 46.4%