Problema Solution

A 5000-seat theater has tickets for sale $28 and $40. How many tickets should be sold at each price for a sell out performance to generate a total revenue of $153,200

Answer provided by our tutors

Let


x = the number of $28 tickets


y = the number of $40 tickets


x + y = 5000


28x + 40y = 153200

........


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........

x = 3,900 tickets


y = 1,100 tickets


There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.