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Math
Advanced MathContemporary Mathematics for Business & Consumers8th Edition

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

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

Solutions

Chapter
Section
Problem 11TIE
Problem 12TIE
Problem 13TIE
Problem 14TIE
Problem 15TIE
Problem 16TIE
Problem 17TIE
Problem 1RE
Problem 2RE
Problem 3RE
Problem 4RE
Problem 5RE
Problem 6RE
Problem 7RE
Problem 8RE
Problem 9RE
Problem 10RE
Problem 11RE
Problem 12RE
Problem 13RE
Problem 14RE
Problem 15RE
Problem 16RE
Problem 17RE
Problem 18RE
Problem 19RE
Problem 20RE
Problem 21RE
Problem 22RE
Problem 23RE
Problem 24RE
Problem 25RE
Problem 26RE
Problem 27RE
Problem 28RE
Problem 29RE
Problem 30RE
BuyFindarrow_forward

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, 5X−65.

Also consider total members,

X+5X−65=535

Now solve the equation:

X+5X−65=535

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Chapter 5.II,
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Chapter 5 Solutions

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Sect-5.I P-1TIESect-5.I P-2TIESect-5.I P-3TIESect-5.I P-4TIESect-5.I P-5TIESect-5.I P-6TIESect-5.I P-7TIESect-5.I P-8TIESect-5.I P-9TIESect-5.I P-10TIE
Sect-5.I P-1RESect-5.I P-2RESect-5.I P-3RESect-5.I P-4RESect-5.I P-5RESect-5.I P-6RESect-5.I P-7RESect-5.I P-8RESect-5.I P-9RESect-5.I P-10RESect-5.I P-11RESect-5.I P-12RESect-5.I P-13RESect-5.I P-14RESect-5.I P-15RESect-5.I P-16RESect-5.I P-17RESect-5.I P-18RESect-5.I P-19RESect-5.I P-20RESect-5.I P-21RESect-5.I P-22RESect-5.I P-23RESect-5.I P-24RESect-5.I P-25RESect-5.I P-26RESect-5.I P-27RESect-5.I P-28RESect-5.I P-29RESect-5.I P-30RESect-5.I P-31RESect-5.I P-32RESect-5.II P-11TIESect-5.II P-12TIESect-5.II P-13TIESect-5.II P-14TIESect-5.II P-15TIESect-5.II P-16TIESect-5.II P-17TIESect-5.II P-1RESect-5.II P-2RESect-5.II P-3RESect-5.II P-4RESect-5.II P-5RESect-5.II P-6RESect-5.II P-7RESect-5.II P-8RESect-5.II P-9RESect-5.II P-10RESect-5.II P-11RESect-5.II P-12RESect-5.II P-13RESect-5.II P-14RESect-5.II P-15RESect-5.II P-16RESect-5.II P-17RESect-5.II P-18RESect-5.II P-19RESect-5.II P-20RESect-5.II P-21RESect-5.II P-22RESect-5.II P-23RESect-5.II P-24RESect-5.II P-25RESect-5.II P-26RESect-5.II P-27RESect-5.II P-28RESect-5.II P-29RESect-5.II P-30RECh-5 P-1CRCh-5 P-2CRCh-5 P-3CRCh-5 P-4CRCh-5 P-5CRCh-5 P-6CRCh-5 P-7CRCh-5 P-8CRCh-5 P-9CRCh-5 P-10CRCh-5 P-11CRCh-5 P-12CRCh-5 P-13CRCh-5 P-14CRCh-5 P-1ATCh-5 P-2ATCh-5 P-3ATCh-5 P-4ATCh-5 P-5ATCh-5 P-6ATCh-5 P-7ATCh-5 P-8ATCh-5 P-9ATCh-5 P-10ATCh-5 P-11ATCh-5 P-12ATCh-5 P-13ATCh-5 P-14ATCh-5 P-15ATCh-5 P-16ATCh-5 P-17ATCh-5 P-18ATCh-5 P-19ATCh-5 P-20ATCh-5 P-21ATCh-5 P-22ATCh-5 P-23ATCh-5 P-24ATCh-5 P-25ATCh-5 P-26ATCh-5 P-27ATCh-5 P-28ATCh-5 P-29ATCh-5 P-30ATCh-5 P-31ATCh-5 P-32ATCh-5 P-33ATCh-5 P-34AT

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