BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

Solutions

Chapter
Section
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, 5X65.

Also consider total members,

X+5X65=535

Now solve the equation:

X+5X65=535

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 2340, find the indicated limit. 23. limx23

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Show that the equation x4 + 4x + c = 0 has at most two real roots.

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 516, evaluate the given quantity. log1,000

Finite Mathematics and Applied Calculus (MindTap Course List)

Using a binomial series, the Maclaurin series for is:

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: All the hypotheses for the Mean Value Theorem hold for f(x) = 1 − |x| on [−1, 2].

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Exercises 110, evaluate the expression. 20!

Finite Mathematics for the Managerial, Life, and Social Sciences