A promoter needs to make $79,100 from the sale of 2900 tickets. She charges $23 for some tickets and $54 for the others. (a) If there are x of the $23 tickets sold and y of the $54 tickets sold, write an equation that states that the sum of the tickets sold is 2900. (b) How much money is received for the sale of x tickets for $23 each? (c) How much money is received for the sale of y tickets for $54 each? (d) Write an equation that states that the total amount received from the sale is $79,100. (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $79,100.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter2: Solving Linear Equations
Section2.1: Use A General Strategy To Solve Linear Equations
Problem 76E: Explain why you should simplify both sides of an equation as much as possible before collecting the...
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A promoter needs to make $79,100 from the sale of 2900
tickets. She charges $23 for some tickets and $54 for the
others.
(a) If there are x of the $23 tickets sold and y of the $54
tickets sold, write an equation that states that the sum of
the tickets sold is 2900.
(b) How much money is received for the sale of x tickets
for $23 each?
(c) How much money is received for the sale of y tickets
for $54 each?
(d) Write an equation that states that the total amount
received from the sale is $79,100.
(e) Solve the equations simultaneously to find how many
tickets of each type must be sold to yield the $79,100.
Transcribed Image Text:A promoter needs to make $79,100 from the sale of 2900 tickets. She charges $23 for some tickets and $54 for the others. (a) If there are x of the $23 tickets sold and y of the $54 tickets sold, write an equation that states that the sum of the tickets sold is 2900. (b) How much money is received for the sale of x tickets for $23 each? (c) How much money is received for the sale of y tickets for $54 each? (d) Write an equation that states that the total amount received from the sale is $79,100. (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $79,100.
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