Xuan's and Yoko's savings were in the ratio of 4 : 9. Both of them shared the cost of their grandfather's souvenir equally. Xuan's remaining savings was
14 as much as Yoko's savings. What percentage of her savings did Yoko spend? Correct the answer to 1 decimal place.
|
Xuan |
Yoko |
Difference |
Before |
4x3 = 12 u |
9x3 = 27 u |
5x3 = 15 u |
Change |
- 7 u |
- 7 u |
|
After |
1x5 = 5 u |
4x5 = 20 u |
3x5 = 15 u |
Since Xuan and Yoko shared the cost of their grandfather's souvenir equally, the amount each paid for the souvenir is the same.
So, the difference in the amounts between Xuan and Yoko at first and in the end remains the same. Make the difference in the amounts between Xuan and Yoko at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Yoko spent on the souvenir
= 27 u - 20 u
= 7 u
Percentage of her savings that Yoko spent
=
727 x 100%
≈ 25.9%
Answer(s): 25.9%