Yoko's and Yen's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's present equally. Yoko's remaining savings was
15 as much as Yen's savings. What percentage of her savings did Yen spend? Correct the answer to 1 decimal place.
|
Yoko |
Yen |
Difference |
Before |
4x4 = 16 u |
9x4 = 36 u |
5x4 = 20 u |
Change |
- 11 u |
- 11 u |
|
After |
1x5 = 5 u |
5x5 = 25 u |
4x5 = 20 u |
Since Yoko and Yen shared the cost of their younger sister's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Yoko and Yen at first and in the end remains the same. Make the difference in the amounts between Yoko and Yen at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Yen spent on the present
= 36 u - 25 u
= 11 u
Percentage of her savings that Yen spent
=
1136 x 100%
≈ 30.6%
Answer(s): 30.6%