Marion 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 : 8. After the exchange, she had 315 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 |
+ 8 u |
+ 35 |
| After |
1 u |
? |
315 |
75% =
75100 =
34The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Marion received due to the exchange
= 8 u - 3 u
= 5 u
5 u = 315 - 280
5 u = 35
1 u = 35 ÷ 5 = 7
Number of small candy canes at first
= 280 - 4 u
= 280 - 4 x 7
= 280 - 28
= 252
Percentage of the candy canes Marion bought that were small ones
=
252280 x 100%
= 90%
Answer(s): 90%
