Problema Solution

A rock concert brought in $432,500 on the sale of 9,500 tickets. If the tickets sold for $35 and $55 each, how many of each type of ticket were sold?

Answer provided by our tutors

let


x = the number of $35 tickets sold


y = the number of $55 tickets sold


A rock concert brought in $432,500 on the sale of 9,500 tickets:


35x + 55y = 432500


x + y = 9500


by solving the above system of equations we find:


x = 4,500 tickets


y = 5,000 tickets


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there were 4,500 $35 tickets sold.


there were 5,000 $55 tickets sold.