Jane's and Emma's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's souvenir equally. Jane's remaining savings was
25 as much as Emma's savings. What percentage of her savings did Emma spend? Correct the answer to 1 decimal place.
|
Jane |
Emma |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 2 u |
- 2 u |
|
After |
2x5 = 10 u |
5x5 = 25 u |
3x5 = 15 u |
Since Jane and Emma shared the cost of their younger sister's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Jane and Emma at first and in the end remains the same. Make the difference in the amounts between Jane and Emma at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Emma spent on the souvenir
= 27 u - 25 u
= 2 u
Percentage of her savings that Emma spent
=
227 x 100%
≈ 7.4%
Answer(s): 7.4%