Sarah bought a total of 100 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 : 5. After the exchange, she had 116 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
100 |
Change |
- 1 u |
|
|
Comparing big and small candy canes at exchange |
- 1 u |
+ 5 u |
+ 16 |
After |
3 u |
? |
116 |
25% =
25100 =
14The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Sarah received due to the exchange
= 5 u - 1 u
= 4 u
4 u = 116 - 100
4 u = 16
1 u = 16 ÷ 4 = 4
Number of small candy canes at first
= 100 - 4 u
= 100 - 4 x 4
= 100 - 16
= 84
Percentage of the candy canes Sarah bought that were small ones
=
84100 x 100%
= 84%
Answer(s): 84%