a club is making posters to raise money. the printer charges a base fee of $270 and $2 per poster for supplies. a person sells each poster for $5. how many posters must he sell to make profit of $300?

Respuesta :

The club is making posters to raise money.

The printer charges a base fee of $270 and $2 per poster for supplies.

Suppose the club gets x number of posters printed.

The cost of printing x posters with 270 fixed charges shall be

Cost = 2x + 270

Now each poster sells for $5

So selling price of x posters = $5x

Now selling price - cost price = profit

5x - (2x+270) = 300

5x - 2x - 270 = 300

3x -270 = 300

Adding 270 on both sides

3x = 300 + 270

3x = 570

Dividing by 3 on both sides

x = 190

The club must see 190 posters to make a profit of $300.

Profit is the difference between the selling price and cost price. For a profit of $300, the number of posters that must be sold is 190.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A club is making posters to raise money.

The printer charges a base fee of $270 and $2 per poster for supplies.

A person sells each poster for $5.

Let x be the number of posters. Then the cost price and selling price is given by

Cost price = 2x + 270

Selling price = 5x

The posters must be sold to make a profit of $300. Then

We know that the profit is given by

Profit = selling price – cost price

Put all these values to get the value of x.

5x – (2x + 270) = 300

5x – 2x – 270 = 300

                    3x = 300 + 270

                    3x = 570

                      x = 190

For a profit of $300, the number of posters that must be sold is 190.

More about the linear system link is given below.

https://brainly.com/question/20379472