Help with equations with two variables

Question

anonymous · Answer

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anonymous · Answer

You have two variables, so you need to write two equations. A total of 14 people took the trip, that is, the total of both kinds of tickets that were bought is 14 so you can say: $$c + f = 14$$ Then, you have the price of each ticket and the total money spent, so you can say: $$250c + 1150f = 10700$$
And there are your two equations.

anonymous · Answer

You want to know c, so let's get rid of f using the first equation.
$$f = 14 - c$$
Then substitute that into the second:
$$250c + 1150(14 - c) = 10700$$
Solve for c and you have your answer.