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
Answered question
2021-01-06
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?
Answer & Explanation
hosentak
Skilled2021-01-07Added 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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