Question

A concert promoter needs to make $70,200 from the sale of 1840 tickets. The promoter charges...

A concert promoter needs to make $70,200 from the sale of 1840 tickets. The promoter charges $30 for some tickets and $55 for the others. Let x represent the number of $30 tickets and y represent the number of $55 tickets.

(a) Write an equation that states that the sum of the tickets sold is 1840.



(b) Write a formula for how much money is received from the sale of $30 tickets?
$



(c) Write a formula for how much money is received from the sale of $55 tickets?
$



(d) Write an equation that states that the total amount received from the sale is $70,200.



(e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $70,200.

x =
y =

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