Irene bought a total of 50 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 : 7. After the exchange, she had 70 candy canes. What percentage of the candy canes she bought were small ones?
|
Big candy canes |
Small candy canes |
Total |
Before |
4 u |
? |
50 |
Change |
- 3 u |
|
|
Comparing big and small candy canes at exchange |
- 3 u |
+ 7 u |
+ 20 |
After |
1 u |
? |
70 |
75% =
75100 =
34The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Irene received due to the exchange
= 7 u - 3 u
= 4 u
4 u = 70 - 50
4 u = 20
1 u = 20 ÷ 4 = 5
Number of small candy canes at first
= 50 - 4 u
= 50 - 4 x 5
= 50 - 20
= 30
Percentage of the candy canes Irene bought that were small ones
=
3050 x 100%
= 60%
Answer(s): 60%