Roshel bought a total of 400 big and small jelly beans. Then she decided to exchange 40% of her big jelly beans for the small ones in the ratio of 2 : 5. After the exchange, she had 424 jelly beans. What percentage of the jelly beans she bought were small ones?
|
Big jelly beans |
Small jelly beans |
Total |
Before |
5 u |
? |
400 |
Change |
- 2 u |
|
|
Comparing big and small jelly beans at exchange |
- 2 u |
+ 5 u |
+ 24 |
After |
3 u |
? |
424 |
40% =
40100 =
25The number of big jelly beans that were exchanged for small jelly beans was repeated.
Number of extra jelly beans that Roshel received due to the exchange
= 5 u - 2 u
= 3 u
3 u = 424 - 400
3 u = 24
1 u = 24 ÷ 3 = 8
Number of small jelly beans at first
= 400 - 5 u
= 400 - 5 x 8
= 400 - 40
= 360
Percentage of the jelly beans Roshel bought that were small ones
=
360400 x 100%
= 90%
Answer(s): 90%