Ivory bought a total of 280 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 : 5. After the exchange, she had 294 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
280 |
Change |
- 3 u |
|
|
Comparing big and small candy canes at exchange |
- 3 u |
+ 5 u |
+ 14 |
After |
1 u |
? |
294 |
75% =
75100 =
34The 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
= 5 u - 3 u
= 2 u
2 u = 294 - 280
2 u = 14
1 u = 14 ÷ 2 = 7
Number of small candy canes at first
= 280 - 4 u
= 280 - 4 x 7
= 280 - 28
= 252
Percentage of the candy canes Ivory bought that were small ones
=
252280 x 100%
= 90%
Answer(s): 90%