Problema Solution

A movie theater charges $6.50 for matinee showings and $8.75 for evening showings. Yesterday the theater sold 378 tickets for a total revenue of $2,929.50. How many matinee tickets were sold?

Answer provided by our tutors

let


x = the number of matinee tickets sold


y = the number evening shows tickets sold


Yesterday the theater sold 378 tickets for a total revenue of $2,929.50:


x + y = 378


6.50x + 8.75y = 2,929.50


by solving the above system of equations we find:


x = 168 matinee tickets


y = 210 evening shows tickets


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there were 168 matinee tickets sold.