mitchellclifton23
contestada

6.
Tickets to a basketball game cost $1.50
o a basketball game cost $1.50 for students and $3.25 for adults. The
school made $752.25 and sold 358 tickets. How many student and how many
adult tickets were sold?

Respuesta :

tramserran

Answer: Adult tickets = 123

              Student tickets = 235

Step-by-step explanation:

Let x represent the number of adult tickets sold and

let y represent the number of student tickets sold

Then create two equations: Quantity & Cost

Cost:    3.25x + 1.50y = 752.25

Qty:           x   +        y =  358

I am going to solve the system using the substitution method.

You can also solve using the elimination method.

Since x + y = 358

then        y = 358 - x

Substitute y in the Cost equation with 358 - x    and solve for x

3.25x + 1.50(358 - x) = 752.25

3.25x  + 537  - 1.50x = 752.25

1.75x    + 537             = 752.25

1.75x                          = 215.25

      x                          = 123

Now substitute x with 123 into the Quantity equation to solve for y

 x  +  y = 358

123 + y = 358

         y = 235

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