Barbara bought a total of 80 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 : 6. 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 |
? |
80 |
Change |
- 1 u |
|
|
Comparing big and small jelly beans at exchange |
- 1 u |
+ 6 u |
+ 40 |
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 Barbara received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 120 - 80
5 u = 40
1 u = 40 ÷ 5 = 8
Number of small jelly beans at first
= 80 - 4 u
= 80 - 4 x 8
= 80 - 32
= 48
Percentage of the jelly beans Barbara bought that were small ones
=
4880 x 100%
= 60%
Answer(s): 60%