A theater has 600 tickets to sell for a show. Of these, 225 sell for $2 more than the others. If all tickets are sold and $2250 is taken for the show, what price is each type ticket?

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Kelsey -Read the problem carefully, then write out the equations.First, the problem is asking for the price of two types of ticket.  One ticket price is higher than the other, so let's start out by creating a variable for each type:L = Lower price ticketH = Higher price ticketPretty simple so far, right?Now write the equations from the words:A theater has 600 tickets to sell for a show. Of these, 225 sell for $2 more than the others.H = L + 2 [this just says the higher price ticket is $2 more than the lower price ticket]225(H) + (600 - 225)L = 2250[this just says, 225 tickets are sold at the higher price and (600-225) or 375 are sold at the lower price. The total sales equals $2250Now substitute H = L + 2 in the above equation:225(L + 2) + (600 - 225)L = 2250Now, simply solve for L.  I'll leave the math for you.Once you know L, plug it into H = L + 2 to find the price of the higher ticket.Hope that helps