Question

Hot dogs come 8 to a package. You need to feed at least 60 people. Let x, represent the packages of hotdogs. Which of the following are NOT a viable solution?

A. ( 1, 4)
B. ( 5,3)
C. (5,2)
D.(4,3)

Answer 1

To feed at least 60 people, the number of packages of hotdogs should be at least 7.5. Option C (5, 2) is NOT a viable solution because it does not meet the minimum requirement.

Step-by-step explanation:

Hot dogs come 8 to a package. To feed at least 60 people, let x represent the packages of hotdogs. The total number of hot dogs needed can be found by multiplying the number of packages by 8:

x * 8 ≥ 60
8x ≥ 60
x ≥ 60/8
x ≥ 7.5

1. Option A: (1, 4) - This is a viable solution because 1 package of hot dogs contains enough to feed 8 people, which is less than the minimum requirement of 60 people.
2. Option B: (5, 3) - This is a viable solution because 5 packages of hot dogs contain enough to feed 40 people, which is less than the minimum requirement of 60 people.
3. Option C: (5, 2) - This is not a viable solution because 5 packages of hot dogs contain enough to feed 40 people, which is less than the minimum requirement of 60 people.
4. Option D: (4, 3) - This is a viable solution because 4 packages of hot dogs contain enough to feed 32 people, which is less than the minimum requirement of 60 people.

Therefore, the option C (5, 2) is NOT a viable solution.