10,000 people paid for reserved seats and 24,000 people paid for general admissions.
Step-by-step explanation:
Number of people at ball game = 34000
Worth of receipts = $264000
Price for reserved seat = $12
Price for general admission = $6
Let,
Number of tickets of reserved seats = x
Number of tickets of general admission = y
According to given statement;
x+y=34000 Eqn 1
12x+6y=264000 Eqn 2
From Eqn 1
x=34000-y Eqn 3
Putting value of x from Eqn 3 in Eqn 2
[tex]12(34000-y)+6y=264000\\408000-12y+6y=264000\\-6y=264000-408000\\-6y=-144000[/tex]
Dividing both sides by -6
[tex]\frac{-6y}{-6}=\frac{-144000}{-6}\\y=24000[/tex]
Putting in Eqn 1
[tex]x+24000=34000\\x=34000-24000\\x=10000[/tex]
10,000 people paid for reserved seats and 24,000 people paid for general admissions.
Keywords: linear equation, substitution method
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