Chapter 5, Problem 27AT

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

Chapter
Section

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Set up and solve equations for the following business situations.You are planning to advertise your boat for sale on the Internet. The Boat Mart charges $1.30 for a photo plus$0.12 per word. Boat Bargains charges $1.80 for a photo plus$0.10 per word. For what number of words will the charges be the same?

To determine

To calculate: The number of words for those the same charge will be paid, if for advertising the Boat Mart charges $1.30 for photo and$0.12 for a word and Boat Bargains charges $1.80 for photo and$0.10 for a word.

Explanation

Given Information:

The Boat Mart charges $1.30 for photo and$0.12 for a word and Boat Bargains charges $1.80 for photo and$0.10 for a word.

Formula used:

To solve the equation and prove the solution, follow the steps as mentioned below.

Step 1: Understand the problem and write the facts of the equation.

Step2: List the known and the unknows from the problem.

Step3: Write the equation with the help of following table of key word,

 Equal Sign Addition Subtraction Multiplication Division Parentheses Is And Less of Divide Times the quantity of Are Added to Less than Multiply Divided by Was Totals Smaller than Times Divided into Equals The sum of Minus Product of Quotient of Gives Plus Difference Multiplied by Ratio of Giving More than Decreased by Twice Leaves Larger than Reduced by Double Results in Increased by Take away Triple Produces Greater than Loss of At yields exceeds Fewer than @

Step4: Solve the equation by rearrange the unknown values to the left side and known values to the right side of the equal sign.

Step5: Prove the solution by substituting the value obtained from step 4 in the equation formed in step 4 then check the left and right of the equation if, they are equal then the answer is correct.

Calculation:

Underline the keyword by using the table of key word.

The price of photo plus price per words multiply by the number of words equals total paid amount.

Suppose that X be the number of words for those the same charge will be paid.

Consider the Boat Mart charges $1.30 for photo and$0.12 for a word and Boat Bargains charges $1.80 for photo and$0.10 for a word,

Consider the charge paid, 1.30+0.12X=1.80+0.10X

Now solve the equation 1

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