Problema Solution
Balcony and orchestra tickets were sold for a Friday night concert last week. The balcony and orchestra tickets sold for $32 and $12, respectively. If 160 tickets were sold, and the total revenue was $2820 for the night, find the number of balcony and orchestra tickets sold
Answer provided by our tutors
...the word problem possibly contains an error because 'balcony' typically refers to the cheaper suits than 'orchestra' but the costs are reported as "$32 and $12, respectively"... therefore we solve the problem as if the balcony tickets cost $32 and the orchestra tickets cost $12
let 'x' represent the number of balcony tickets sold, then '160-x' represents the number of orchestra tickets sold
2820 = 32x+12(160-x)
x=45
160-45=115
Based on the assumptions stated earlier, 45 balcony tickets were sold and 115 orchestra tickets were sold.