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Question # 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? Math Word Problem ANSWERED asked 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? 2021-01-07

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
$$x+y=525\ and\ 4x+6y = 2876$$

Step 2
Solve the equations in order to find the values of x and y as follows.
$$4x+6(525-x)=2876 (\because y=525-x)$$
$$\displaystyle{4}{x}+{3150}-{6}{x}={2876}$$
$$\displaystyle-{2}{x}=-{274}$$
$$x=137$$
Step 3
Solve for y by substituting the value of x as follows.
$$137+y=525 (\because x=137)$$
$$y=525-137$$
$$y=388$$
Step 4
Check whether the values are correct or not.
$$4(137)+6(388)=2876$$
$$548+2328=2876$$
$$2876=2876$$(True)
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.