Opal bought a total of 175 big and small jelly beans. Then she decided to exchange 60% of her big jelly beans for the small ones in the ratio of 3 : 7. After the exchange, she had 203 jelly beans. What percentage of the jelly beans she bought were small ones?
| |
Big jelly beans |
Small jelly beans |
Total |
| Before |
5 u |
? |
175 |
| Change |
- 3 u |
|
|
Comparing big and
small jelly beans at exchange |
- 3 u |
+ 7 u |
+ 28 |
| After |
2 u |
? |
203 |
60% =
60100 =
35The number of big jelly beans that were exchanged for small jelly beans was repeated.
Number of extra jelly beans that Opal received due to the exchange
= 7 u - 3 u
= 4 u
4 u = 203 - 175
4 u = 28
1 u = 28 ÷ 4 = 7
Number of small jelly beans at first
= 175 - 5 u
= 175 - 5 x 7
= 175 - 35
= 140
Percentage of the jelly beans Opal bought that were small ones
=
140175 x 100%
= 80%
Answer(s): 80%
