Question

a total of 210 people attended the opening night of a School Musical, students tickets cost $3 each while general admission tickets cost $7.50 each. If total sales were $1,296, how many general admission tickets were sold?

Answer 1

x=student ticket
y=general admission tickets

X+Y=210 (*3) --> 3x+3y=630
3x+7.5y=1296
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 3x+7.5y=1296
-3x+3y=630
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4.5y=666
y=666/4.5
y=148

General Admission Tickets=148

Answer 2

Answer:  The number of general admission tickets that were sold is 148.

Step-by-step explanation:  Given that a total of 210 people attended the opening night of a School Musical, where students tickets cost $3 each while general admission tickets cost $7.50 each.

The total sales were $1,296.

We are to find the number of general admission tickets that were sold.

Let x and y represents the number of student tickets and the general admission tickets respectively that were sold.

Then, according to the given information, we have

$x+y=210\\\\\Rightarrow x=210-y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$3x+7.50y=1296\\\\\Rightarrow 3(210-y)+7.50y=1296~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 630-3y+7.50y=1296\\\\\Rightarrow 4.50y=1296-630\\\\\Rightarrow 4.50y=666\\\\\Rightarrow y=\dfrac{666}{4.50}\\\\\Rightarrow y=148.$

Thus, the number of general admission tickets that were sold is 148.