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)

1 answer

To determine if the coach is correct, we first need to find out how many hotdogs and hamburgers were eaten.

  1. Start with the total number of hotdogs and hamburgers:

    • Total items = 35
    • Hotdogs = 21
    • Hamburgers = 35 - 21 = 14
  2. Next, we calculate how many hotdogs and hamburgers were left:

    • Hotdogs left = 5
    • Hamburgers left = 3
  3. Calculate how many were eaten:

    • Hotdogs eaten = Total hotdogs - Hotdogs left = 21 - 5 = 16
    • Hamburgers eaten = Total hamburgers - Hamburgers left = 14 - 3 = 11
  4. Now, we can check the ratio of hotdogs eaten to hamburgers eaten:

    • Hotdogs eaten : Hamburgers eaten = 16 : 11

Since the ratio matches the coach's statement of 16:11, the coach is correct.

Therefore, the answer is 1 (yes).