You are selling tickets for a new college play: "A Handful of Math Miracles". Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876.

How many of each type of ticket did you sell?

York
2021-01-06
Answered

You are selling tickets for a new college play: "A Handful of Math Miracles". Student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876.

How many of each type of ticket did you sell?

You can still ask an expert for help

hosentak

Answered 2021-01-07
Author has **100** answers

Step 1

Consider the number of student tickets sold be x and the number of general admission tickets sold be y.

It is given that each student’s ticket cost is $4 and each general admission’s ticket cost is $6. The number of tickets sold is 525 and the amount collected is $2876.

According to the question, the equations are formed as

Step 2

Solve the equations in order to find the values of x and y as follows.

Step 3

Solve for y by substituting the value of x as follows.

Step 4

Check whether the values are correct or not.

Step 5

As the values for x and y satisfy the equations, the values of x and y are 137 and 388, respectively.

Therefore, the number of student tickets sold is 137 and the number of general admission tickets sold is 388.

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