Lucy bought a total of 450 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 : 4. After the exchange, she had 477 candy canes. What percentage of the candy canes she bought were small ones?
| |
Big candy canes |
Small candy canes |
Total |
| Before |
4 u |
? |
450 |
| Change |
- 1 u |
|
|
Comparing big and
small candy canes at exchange |
- 1 u |
+ 4 u |
+ 27 |
| After |
3 u |
? |
477 |
25% =
25100 =
14The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Lucy received due to the exchange
= 4 u - 1 u
= 3 u
3 u = 477 - 450
3 u = 27
1 u = 27 ÷ 3 = 9
Number of small candy canes at first
= 450 - 4 u
= 450 - 4 x 9
= 450 - 36
= 414
Percentage of the candy canes Lucy bought that were small ones
=
414450 x 100%
= 92%
Answer(s): 92%
