Adults tickets to a play cost $5 and students tickets cost $2.If 320 tickets were sold and a total of $1030 was collected, how many students tickets were sold

Question

Define a variable,Write an equation,and solve the problem 

 

Answer 1

Greetings! Lets solve this shall we ?

So, we must find how many student tickets were sold at the play. We must create a system of linear equations to solve for this such that

x + y = 320

5x + 2y = 1030............Multiply the first equation by -2

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-2x - 2y = -640

5x + 2y = 1030

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3x = 390

x = 130 adult tickets

Then plug in the 130 into the equation such that

130 + y = 320.........Subtract 130 such that

y = 190 student tickets

I hope this helped!