# How do I solve this word problem?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?

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How do I solve this word problem?

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?

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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 va...

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### Algebra 