A concert promoter needs to make $84,900 from the sale of 1860 tickets. The prom

Question

A concert promoter needs to make $84,900 from the sale of 1860 tickets. The promoter charges $40 for some tickets and s55 for the others. Let x represent the number of $40 tickets and y represent the number of $55 lickets. (a) Write an equation that states that the sum of the tickets sold is 1860. [b) Write a formula for how much money is reccived from the sale of $40 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 $84,900 (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $84,900

Explanation / Answer

(a) x+y=1860

(b) Money received from the sale of $40 tickets = $40*x

(c) Money received from the sale of $55 tickets = $55*y

(d) $40*x+$55*y=$84,900

(e) x+y=1860 (Equation 1)

40x+55y=84,900 (Equation 2)

40x+40y=74,400 (Multiply by 40 in equation 1)

Subtract eq1 from eq2

15y=10,500

y=700

Putting value of y in eq1

x+y=1860

x+700=1860

x=1860-700=1160

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