Madison High School is putting on a school play. They decide to charge $11 for main floor seats and $7 for balcony seats. If the school sold twice as many main floor seats as balcony seats and made $870, how many of each type of seat did they sell?

1 Answer
A08
Jul 1, 2016

Number of balcony seats #=30#, and
Number of main floor seats #=60#

Explanation:

Suppose the school sold number of Balcony seats #=x#
Therefore Main floor seats sold #=2x#
Money collected from balcony seats at a price of #$7# each #=x xx 7=7x#
Money collected from main floor seats at a price of #$11# each #=2x xx11=22x#
Total collection #=7x+22x=29x#

Equating with the given number:

#29x=870#
#=>x=cancel 870^30/cancel 29#
#=>x=30#

#:.# Number of Balcony seats #=30#, and
Number of main floor seats #=60#

Related questions
Impact of this question
1697 views around the world
You can reuse this answer
Creative Commons License