Shannon bought a total of 350 big and small candy canes. Then she decided to exchange 30% of her big candy canes for the small ones in the ratio of 3 : 7. After the exchange, she had 378 candy canes. What percentage of the candy canes she bought were small ones?
| |
Big candy canes |
Small candy canes |
Total |
| Before |
10 u |
? |
350 |
| Change |
- 3 u |
|
|
Comparing big and
small candy canes at exchange |
- 3 u |
+ 7 u |
+ 28 |
| After |
7 u |
? |
378 |
30% =
30100 =
310The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Shannon received due to the exchange
= 7 u - 3 u
= 4 u
4 u = 378 - 350
4 u = 28
1 u = 28 ÷ 4 = 7
Number of small candy canes at first
= 350 - 10 u
= 350 - 10 x 7
= 350 - 70
= 280
Percentage of the candy canes Shannon bought that were small ones
=
280350 x 100%
= 80%
Answer(s): 80%
