Question 118007
El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats were sold?
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Let # of orchestra tickets be "r"; Let # of balcony tickets be "b".
EQUATIONS:
Quantity: r+b=650
Value: 7.5r + 3.5b = 4375
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Substitute to solve for "b"
7.5(650-b) + 3.5b = 4375
4875-7.5b+3.5b = 4375
-4b = -500
b = 125 (# of balconey tickets sold)
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Substitute to solve for "r":
r+125 = 650
r = 525 (# of orchestra tickets sold)
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Cheers,
Stan H.