Tina bought a total of 175 big and small candy canes. Then she decided to exchange 80% of her big candy canes for the small ones in the ratio of 4 : 9. After the exchange, she had 210 candy canes. What percentage of the candy canes she bought were small ones?
| |
Big candy canes |
Small candy canes |
Total |
| Before |
5 u |
? |
175 |
| Change |
- 4 u |
|
|
Comparing big and
small candy canes at exchange |
- 4 u |
+ 9 u |
+ 35 |
| After |
1 u |
? |
210 |
80% =
80100 =
45The number of big candy canes that were exchanged for small candy canes was repeated.
Number of extra candy canes that Tina received due to the exchange
= 9 u - 4 u
= 5 u
5 u = 210 - 175
5 u = 35
1 u = 35 ÷ 5 = 7
Number of small candy canes at first
= 175 - 5 u
= 175 - 5 x 7
= 175 - 35
= 140
Percentage of the candy canes Tina bought that were small ones
=
140175 x 100%
= 80%
Answer(s): 80%
