A concert promoter needs to make $42,000 from the sale of 1800 tickets. The promoter charges $20 for some tickets and $30 for the others. Let x represent the number of $20 tickets and y represent the number of $30 tickets. a. Write an equation that states that the sum of the tickets sold is 1800. b. How much money is received from the sale of $20 tickets? c. How much money is received from the sale of $30 tickets? d. Write an equation that states that the total amount received from the sale is $42,000. e. Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $42,000.

Step-by-step explanation:

Let x represent the number of $20 tickets and y represent the number of $30 tickets.

a) the equation that states that the sum of the tickets sold is 1800 is

x + y = 1800

b) the amount of money received from the sale of $20 tickets is 20x

c) the amount of money received from the sale of $30 tickets is 30y

d) an equation that states that the total amount received from the sale is $42,000 is

20x + 30y = 42000 - - - - - - - - - -1

e) we would substitute x = 1800 - y into equation 1, it becomes

20(1800 - y) + 30y = 42000

36000 - 20y + 30y = 42000

- 20y + 30y = 42000 - 36000

10y = 6000

y = 6000/10

y = 600

x = 1800 - y = 1800 - 600

x = 1200

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step-by-step explanation: