At the movie theatre, child admission is $5.20 and adult admission is $9.80. On Tuesday, 147 tickets were sold for a total sales of $1054.20. How many child tickets were sold that day?
Accepted Solution
A:
Answer: 84 child tickets were soldStep-by-step explanation:Had they all been adult tickets, revenue would have been ... $9.80 × 147 = $1440.60It was less by ... $1440.60 -1054.20 = $386.40The child's ticket costs less by ... $9.80 -5.20 = $4.60so there must have been $386.40/$4.60 = 84 child tickets sold.__Replacing an adult ticket with a child ticket reduces the revenue by $4.60 without changing the number of tickets sold._____You can let c represent the number of child tickets sold. Then (147 -c) is the number of adult tickets sold, and total revenue is ... 5.20c + 9.80(147 -c) = 1054.20 -4.60c +1440.60 = 1054.20 . . . . simplify -4.60c = -386.40 . . . . . . . . . . . . . subtract 1440.60 c = 386.40/4.60 = 84