Jaslyn bought a total of 80 big and small candy canes. Then she decided to exchange 25% of her big candy canes for the small ones in the ratio of 1 : 6. After the exchange, she had 100 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
80 |
Change |
- 1 u |
|
|
Comparing big and small candy canes at exchange |
- 1 u |
+ 6 u |
+ 20 |
After |
3 u |
? |
100 |
25% =
25100 =
14The 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
= 6 u - 1 u
= 5 u
5 u = 100 - 80
5 u = 20
1 u = 20 ÷ 5 = 4
Number of small candy canes at first
= 80 - 4 u
= 80 - 4 x 4
= 80 - 16
= 64
Percentage of the candy canes Jaslyn bought that were small ones
=
6480 x 100%
= 80%
Answer(s): 80%