SOLUTION: Solve the problem by using a system of equations. (Objective 4) The income from a student production was $18,000. The price of a student ticket was $3, and nonstudent tickets w

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Question 473732: Solve the problem by using a system of equations. (Objective 4)
The income from a student production was $18,000. The price of a student ticket was $3, and nonstudent tickets were sold at $6 each. Five thousand tickets were sold. How many tickets of each kind were sold?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Five thousand tickets were sold. 

Let x and (5000-x)represent the number of $6 tickets and $3 tickets respectively

Question states***

 $6x + $3(5000-x) = $18,000

Solving for x

     3x = 3000

      x = 1000, number of $6 tickets.  4000 $3 tickets sold

      

CHECKING our Answer***

 $6*1000 + $3*4000 = $6000 +  $12,000 = $18,000