Kay feels that if she earns a profit of 40.00 at this craft, her business will be successful enough for her to branch out to other craft fairs. How many ornaments does she have to sale to earn a 40.00 profit. Write and solve an equation then explain how the steps and operations used in your algebraic solution compare to an arithmetic solution

Answers

Answer 1

6x-2.50x-30=40

3.50x-30=40

3.50x=70

x=20 ornaments

Answer 2

Kay has to sell 20 ornaments to get a profit of $40.00.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Cost for the table = $30

Cost for each ornament = $2.50

Selling price of each ornament = $6.00

Profit = Revenue - Expense

Let x be the number of ornaments sold to get a profit of $40.00.

Revenue = 6x

Expense = 30 + 2.5x

6x - (30 + 2.5x) = 40

3.5x - 30 = 40

3.5x = 70

x = 20

Hence selling 20 ornaments would give Kay a profit of $40.00.

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The complete question is as follows :

Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00.

Kay feels that if she earns a profit of 40.00 at this craft, her business will be successful enough for her to branch out to other craft fairs. How many ornaments does she have to sale to earn a 40.00 profit. Write and solve an equation then explain how the steps and operations used in your algebraic solution compare to an arithmetic solution.


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