A concert promoter needs to make $68,100 from the sale of 1710 tickets. The promoter charges $35 for some tickets and $50 for the others. Exercise (a) If there are x of the $35 tickets sold and y of the $50 tickets sold, write an equation that states that the sum of the tickets sold is 1710. Exercise (b) How much money is received from the sale of x tickets for 35 dollars each? (Enter your answer in terms of x.) Exercise (c) How much money is received from the sale of y tickets for 50 dollars each? (Enter your answer in terms of y.) Exercise (d) Write an equation that states that the total amount received from the sale is 68,100 dollars. Exercise (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $68,100.
A concert promoter needs to make $68,100 from the sale of 1710 tickets. The promoter charges $35 for some tickets and $50 for the others. Exercise (a) If there are x of the $35 tickets sold and y of the $50 tickets sold, write an equation that states that the sum of the tickets sold is 1710. Exercise (b) How much money is received from the sale of x tickets for 35 dollars each? (Enter your answer in terms of x.) Exercise (c) How much money is received from the sale of y tickets for 50 dollars each? (Enter your answer in terms of y.) Exercise (d) Write an equation that states that the total amount received from the sale is 68,100 dollars. Exercise (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $68,100.