Emily bought a total of 48 big and small candy canes. Then she decided to exchange 75% of her big candy canes for the small ones in the ratio of 3 : 8. After the exchange, she had 63 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
48 |
Change |
- 3 u |
|
|
Comparing big and small candy canes at exchange |
- 3 u |
+ 8 u |
+ 15 |
After |
1 u |
? |
63 |
75% =
75100 =
34The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Emily received due to the exchange
= 8 u - 3 u
= 5 u
5 u = 63 - 48
5 u = 15
1 u = 15 ÷ 5 = 3
Number of small candy canes at first
= 48 - 4 u
= 48 - 4 x 3
= 48 - 12
= 36
Percentage of the candy canes Emily bought that were small ones
=
3648 x 100%
= 75%
Answer(s): 75%