SOLUTION: The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?

Algebra ->  Equations -> SOLUTION: The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?      Log On


   

Question 155190: The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?
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EQUATIONS:
Quantity Eq.: s + a = 400
Value Eq.: 2s + 3a = 1050
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Modify to use elimination:
2s + 2a = 800
2s + 3a = 1050
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Subtract 1st eq. from the 2nd:
a = 250 (# of adult tickets sold)
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Substitute to solve for "s":
s + 250 = 400
s = 150 (# of students tickets sold)
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Cheers,
Stan H.