Jaslyn bought a total of 400 big and small candy canes. Then she decided to exchange 30% of her big candy canes for the small ones in the ratio of 3 : 8. After the exchange, she had 450 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
10 u |
? |
400 |
Change |
- 3 u |
|
|
Comparing big and small candy canes at exchange |
- 3 u |
+ 8 u |
+ 50 |
After |
7 u |
? |
450 |
30% =
30100 =
310The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Jaslyn received due to the exchange
= 8 u - 3 u
= 5 u
5 u = 450 - 400
5 u = 50
1 u = 50 ÷ 5 = 10
Number of small candy canes at first
= 400 - 10 u
= 400 - 10 x 10
= 400 - 100
= 300
Percentage of the candy canes Jaslyn bought that were small ones
=
300400 x 100%
= 75%
Answer(s): 75%