SOLUTION: Tommy needs to have his wedding party catered and he can spend no more than $750. He must feed at least 30 people. The catering company offers chicken dinners for $8 and shrimp din

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Question 1207361: Tommy needs to have his wedding party catered and he can spend no more than $750. He must feed at least 30 people. The catering company offers chicken dinners for $8 and shrimp dinners for $11. Which of the following systems of inequalities can be used to determine how many chicken dinners, c, and shrimp dinners, s, that can be purchased?
Responses
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13197)   (Show Source): You can put this solution on YOUR website!


c = # of chicken dinners
s = # of shrimp dinners

The total number of people, and therefore the total number of dinners, must be at least (i.e., greater than or equal to) 30:

[1]

The total cost, at $8 each for the chicken dinners and $11 for the shrimp dinners, can be no more than (i.e., less than or equal to) $750:

[2]


Answer by ikleyn(52765)   (Show Source): You can put this solution on YOUR website!
.

Formally, for completeness, two other inequalities should be added to that two
in the post by @greenestamps:

    c >= 0, t >= 0,


saying that we look for non-negative values of c and s.


Also, when the problem is written in terms of inequalities, one more 
wording restriction must be added, saying that we look for solution in integer numbers c and s.



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