A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?

Answers

Answer 1

The amount of money that will go to the school is $ 3816.00

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

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