The high school baseball team is having a cookout to celebrate their latest victory. They have a total of 35 hotdogs and hamburgers, 21 of which are hotdogs. At the end of the cookout there were 5 hotdogs and 3 hamburgers left. The coach says that the ratio of hotdogs that were eaten to hamburgers that were eaten is 16:11 . Is the coach correct? Choose 1 for yes and 2 for no.(1 point)
To determine if the coach is correct, we need to compare the number of hotdogs eaten to the number of hamburgers eaten. We know that there were 5 hotdogs left at the end of the cookout, and there were originally 21 hotdogs. Therefore, the number of hotdogs eaten is 21 - 5 = 16.
Similarly, we know that there were 3 hamburgers left at the end of the cookout, and there were initially 35 total hotdogs and hamburgers. Therefore, the number of hamburgers eaten is 35 - 3 = 32.
Now, we can compare the number of hotdogs eaten to the number of hamburgers eaten:
Hotdogs eaten : Hamburgers eaten = 16 : 32 = 1 : 2
The coach's statement of the ratio is not correct. The correct ratio is 1:2, not 16:11. Therefore, the answer is 2 (no), the coach is not correct.