Answer:
3c +5a = 5740
Step-by-step explanation:
Given 1500 people paid $3 for admission of children and $5 for admission of adults, resulting in a total of $5740 being collected, you have one equation that is c+a=1500. You want to know the second equation.
Equations
The equations you write will depend on the question being asked. Here, there is no question being asked, so we don't know what a suitable equation would be.
If you assume you want equations that would let you solve for the number of each kind of admission sold, then the other equation would make use of the revenue relation:
3c +5a = 5740 . . . . . . . total collections for admission
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Additional comment
It is fairly common modern practice to ask for a model of "this scenario," without specifying what aspects of the scenario are to be modeled. This question provides an example of that practice.
We could write a number of equations. One might be 3·6+2·5 = p, the price of admission for 6 children and 2 adults. Given the information in the problem statement, this is as good an equation as any.
Using the second equation we wrote above, the solution to the system of equations is (c, a) = (880, 620).
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