Tickets for the high school musical are $5.50 for adults and $3.75 for students. How many adults bought tickets if 525 student tickets are sold and the total

Question

and the total money collected is $3772.7? Define a variable and write an equation to model each situation. Then Solve.

Answer 1

let y = number of adult tickets sold at $5.50

then $5.50y + (525 x $3.75) = $3,772.75

$5.50y + $1968.75 = $3772.75

$5.50y = $3772.75 - $1968.75

$5.50y = $1804

y = 328

 

proof: (328 x $5.50) + (525 x $3.75) = $1804 + $1968.75 = $3772.75

 

a variable is any element without a fixed value 

 

Answer 2

So long as the total amount collected was actually $3772.75, the following is correct:

 

Let x = # of adult tickets

 

 

5.5x + 3.75(525) = 3772.75

5.5x + 1968.75 = 3772.75

5.5x = 1804

x = 328

 

Check answer

 

5.5(328) + 1968.75 = 3772.75; correct

 

Answer 3

Lilac,

 

Let x = number of adult tickets sold.

 

Total money collected = $3772.7

 

We also know that total money collected = $5.5x + $3.75*(number of student tickets)

 

Therefore:

 

5.5x + 3.75(525) = 3772.7

 

 

5.5x + 1968.75 = 3772.7

 

Now, solve for x:

 

5.5x = 3772.7 - 1968.75

 

5.5x = 1803.95

 

x = 327.99 = 328 tickets