Ivory bought a total of 15 big and small candy canes. Then she decided to exchange 50% of her big candy canes for the small ones in the ratio of 1 : 3. After the exchange, she had 21 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
2 u |
? |
15 |
Change |
- 1 u |
|
|
Comparing big and small candy canes at exchange |
- 1 u |
+ 3 u |
+ 6 |
After |
1 u |
? |
21 |
50% =
50100 =
12The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Ivory received due to the exchange
= 3 u - 1 u
= 2 u
2 u = 21 - 15
2 u = 6
1 u = 6 ÷ 2 = 3
Number of small candy canes at first
= 15 - 2 u
= 15 - 2 x 3
= 15 - 6
= 9
Percentage of the candy canes Ivory bought that were small ones
=
915 x 100%
= 60%
Answer(s): 60%