Shiyun's and Pamela's savings were in the ratio of 4 : 9. Both of them shared the cost of their younger sister's souvenir equally. Shiyun's remaining savings was
15 as much as Pamela's savings. What percentage of her savings did Shiyun spend? Correct the answer to 1 decimal place.
|
Shiyun |
Pamela |
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 Shiyun and Pamela 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 Shiyun and Pamela at first and in the end remains the same. Make the difference in the amounts between Shiyun and Pamela at first and in the end the same. LCM of 5 and 4 is 20.
Amount that Shiyun spent on the souvenir
= 16 u - 5 u
= 11 u
Percentage of her savings that Shiyun spent
=
1116 x 100%
≈ 68.8%
Answer(s): 68.8%