   Chapter 5.II, Problem 15RE ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

#### Solutions

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.The U.S. Congress has a total of 535 members. If the number of representatives is 65 less than five times the number of senators, how many senators and how many representatives are in Congress?

To determine

To calculate: The number of representatives and senators in Congress, if the total members of the U.S Congress are 535 and the number of representatives is 65 less than five times as senators.

Explanation

Given Information:

The total members of the U.S Congress are 535 and the number of representatives is 65 less than five times as senators.

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 of key word.

The number of representatives is 65 less than five times the senators equals total members, 535.

Suppose that X be the number of senators.

Consider the representatives is 65 less than five times the senator, 5X65.

Also consider total members,

X+5X65=535

Now solve the equation:

X+5X65=535

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