Challenge The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $2,700 every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Let s represent the number of student tickets sold at $3.50 each. If all 600 seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $2,700? At one performance there were two times as many student tickets sold as adult tickets. If there were 360 tickets sold at that performance, how much below the goal of $2,700 did ticket sales fall?
Challenge The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $2,700 every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Let s represent the number of student tickets sold at $3.50 each. If all 600 seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $2,700? At one performance there were two times as many student tickets sold as adult tickets. If there were 360 tickets sold at that performance, how much below the goal of $2,700 did ticket sales fall?
Chapter8: Sequences, Series,and Probability
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5.3.PS-15
Challenge The members of the city cultural center have decided to put on a play once a night for a
week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $2,700
every night to cover all expenses. Let d represent the number of adult tickets sold at $6.50. Let s
represent the number of student tickets sold at $3.50 each. If all 600 seats are filled for a
performance, how many of each type of ticket must have been sold for the members to raise exactly
$2,700? At one performance there were two times as many student tickets sold as adult tickets. If
there were 360 tickets sold at that performance, how much below the goal of $2,700 did ticket sales
fall?
The members sold
adult tickets and student tickets.
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