Chapter 5.II, Problem 15RE

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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

Explanation

**Given Information:**

The total members of the U.S Congress are

**Formula used:**

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

Step

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

Suppose that *X* be the number of senators.

Consider the representatives is

Also consider total members,

Now solve the equation:

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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