Kimberly bought a total of 96 big and small jelly beans. Then she decided to exchange 25% of her big jelly beans for the small ones in the ratio of 1 : 5. After the exchange, she had 120 jelly beans. What percentage of the jelly beans she bought were small ones?
|
Big jelly beans |
Small jelly beans |
Total |
Before |
4 u |
? |
96 |
Change |
- 1 u |
|
|
Comparing big and small jelly beans at exchange |
- 1 u |
+ 5 u |
+ 24 |
After |
3 u |
? |
120 |
25% =
25100 =
14The number of big jelly beans that were exchanged for small jelly beans was repeated.
Number of extra jelly beans that Kimberly received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 120 - 96
4 u = 24
1 u = 24 ÷ 4 = 6
Number of small jelly beans at first
= 96 - 4 u
= 96 - 4 x 6
= 96 - 24
= 72
Percentage of the jelly beans Kimberly bought that were small ones
=
7296 x 100%
= 75%
Answer(s): 75%