9514 1404 393
Answer:
- let a, c represent costs for adults and children, respectively
- 12c+3a=162; 8c+3a=122
Step-by-step explanation:
You are asked only for the setup, not the solution.
I find it convenient to use variable names that remind me of what they stand for. Here, we're asked for the admission prices for adults and children, so 'a' and 'c' are convenient variables to represent those values.
Let a represent the admission price for an adult.
Let c represent the admission price for a child.
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The first sentence gives a relation between the numbers and the total cost:
162 = 12c +3a
The second sentence gives a different relation:
122 = 8c +3a
These are the "system of equations."
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You aren't asked for the solution, but it is (a, c) = (14, 10). It can be found easily by subtracting the second equation from the first.
