SOLUTION: How do i put this as an equation? The attendance at basball gamewas 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. how many tickets

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Question 209912: How do i put this as an equation?
The attendance at basball gamewas 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. how many tickets of each type were sold?
please... and thank u!!

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of student tickets sold. Let represent the number of adult tickets sold. Making the leap of faith that no one besides students and adults attended the game (no little kids, 17-year old high school graduates, or space aliens were counted in the total of 400 that was given), then you can say that:



Since student tickets cost $2, the amount of money received from the sale of student tickets must be . Likewise the amount of money received from the sale of adult tickets must be . The sum of these two amounts is the total ticket sales of $1050, so:



Solve the first equation for :



Substitute this expression for in the second equation:



Solve for , then using the value of , solve the first equation for .

John