Betty's and Eva's savings were in the ratio of 4 : 9. Both of them shared the cost of their uncle's souvenir equally. Betty's remaining savings was
25 as much as Eva's savings. What percentage of her savings did Betty spend? Correct the answer to 1 decimal place.
|
Betty |
Eva |
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 Betty and Eva shared the cost of their uncle's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Betty and Eva at first and in the end remains the same. Make the difference in the amounts between Betty and Eva at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Betty spent on the souvenir
= 12 u - 10 u
= 2 u
Percentage of her savings that Betty spent
=
212 x 100%
≈ 16.7%
Answer(s): 16.7%