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

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals