Roshel bought a total of 35 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 : 3. After the exchange, she had 49 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
35 |
Change |
- 1 u |
|
|
Comparing big and small candy canes at exchange |
- 1 u |
+ 3 u |
+ 14 |
After |
3 u |
? |
49 |
25% =
25100 =
14The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Roshel received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 49 - 35
2 u = 14
1 u = 14 ÷ 2 = 7
Number of small candy canes at first
= 35 - 4 u
= 35 - 4 x 7
= 35 - 28
= 7
Percentage of the candy canes Roshel bought that were small ones
=
735 x 100%
= 20%
Answer(s): 20%