Min's and Abi's savings were in the ratio of 4 : 9. Both of them shared the cost of their mother's souvenir equally. Min's remaining savings was
13 as much as Abi's savings. What percentage of her savings did Min spend? Correct the answer to 1 decimal place.
|
Min |
Abi |
Difference |
Before |
4x2 = 8 u |
9x2 = 18 u |
5x2 = 10 u |
Change |
- 3 u |
- 3 u |
|
After |
1x5 = 5 u |
3x5 = 15 u |
2x5 = 10 u |
Since Min and Abi shared the cost of their mother's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Min and Abi at first and in the end remains the same. Make the difference in the amounts between Min and Abi at first and in the end the same. LCM of 5 and 2 is 10.
Amount that Min spent on the souvenir
= 8 u - 5 u
= 3 u
Percentage of her savings that Min spent
=
38 x 100%
≈ 37.5%
Answer(s): 37.5%