Linda bought a total of 360 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 405 jelly beans. What percentage of the jelly beans she bought were small ones?
|
Big jelly beans |
Small jelly beans |
Total |
Before |
4 u |
? |
360 |
Change |
- 1 u |
|
|
Comparing big and small jelly beans at exchange |
- 1 u |
+ 6 u |
+ 45 |
After |
3 u |
? |
405 |
25% =
25100 =
14The number of big jelly beans that were exchanged for small jelly beans was repeated.
Number of extra jelly beans that Linda received due to the exchange
= 6 u - 1 u
= 5 u
5 u = 405 - 360
5 u = 45
1 u = 45 ÷ 5 = 9
Number of small jelly beans at first
= 360 - 4 u
= 360 - 4 x 9
= 360 - 36
= 324
Percentage of the jelly beans Linda bought that were small ones
=
324360 x 100%
= 90%
Answer(s): 90%