To determine whether the ratio of hotdogs to hamburgers is 2:3, we first need to find out how many hamburgers there are.
Given:
- Total hotdogs = 21
- Total items (hotdogs + hamburgers) = 35
We can find the number of hamburgers by subtracting the number of hotdogs from the total:
Number of hamburgers = Total items - Hotdogs = 35 - 21 = 14 hamburgers.
Now we can find the ratio of hotdogs to hamburgers:
Ratio of hotdogs to hamburgers = 21 hotdogs : 14 hamburgers.
To simplify this ratio, we divide both sides by the greatest common divisor, which is 7:
21 ÷ 7 = 3 14 ÷ 7 = 2
So, the simplified ratio is 3:2.
Now, comparing this to the proposed ratio of 2:3, we can see that it is not the same.
Thus, the answer is 2 for no.