Kathy bought a total of 200 big and small jelly beans. Then she decided to exchange 50% of her big jelly beans for the small ones in the ratio of 1 : 6. After the exchange, she had 220 jelly beans. What percentage of the jelly beans she bought were small ones?
|
Big jelly beans |
Small jelly beans |
Total |
Before |
2 u |
? |
200 |
Change |
- 1 u |
|
|
Comparing big and small jelly beans at exchange |
- 1 u |
+ 6 u |
+ 20 |
After |
1 u |
? |
220 |
50% =
50100 =
12The number of big jelly beans that were exchanged for small jelly beans was repeated.
Number of extra jelly beans that Kathy received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 220 - 200
5 u = 20
1 u = 20 ÷ 5 = 4
Number of small jelly beans at first
= 200 - 2 u
= 200 - 2 x 4
= 200 - 8
= 192
Percentage of the jelly beans Kathy bought that were small ones
=
192200 x 100%
= 96%
Answer(s): 96%