SOLUTION: A large group goes to a restaurant and orders chicken dinners for $8 and steak dinners for $9. If 27 people spend $235, how many have chicken and steak? How can I write a linear eq

Question 696889: A large group goes to a restaurant and orders chicken dinners for $8 and steak dinners for $9. If 27 people spend $235, how many have chicken and steak? How can I write a linear equation for this problem?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let S = # of Steak dinners
Let C = Number of Chicken dinners
You would need to write two eqautions and see where they crossed.
Equation 1:
Equation 2:
-------------------------------
Solve equation 1 for one of the variables
Equation 1:

Now plug (27 - C) into equation 2 for S
Equation 2:

Simplify

Combine like terms

Add C to both sides

Subtract 235 from both sides

Now plug 8 into equation 1 for C
Equation 1:

Subtract 8 from both sides

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