Chapter 5.II, Problem 9RE

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8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

Set up and solve equations for the following business situations.

An estate is to be distributed among a wife, three children, and two grandchildren. The children will each receive three times as much as each grandchild, and the wife will receive four times as much as each child. If the estate amounts to $115,000, how much will each person receive?

To determine

**To calculate:** The amount received by each person, if the estate amount

Explanation

**Given Information:**

The estate amount

**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.

Amount receive by grandchild plus amount receive by child plus amount receive by wife equals estate amount,

Suppose that amount received by grandchild is *X*.

Consider the people, a wife, three children, and two grandchildren,

Consider the children receive three times as each grandchild,

Also consider the wife receives four times as child,

Also consider total estate amount,

Now solve the equation,

Solve the parenthesis and combine the unknowns on left side,

This equation represents that

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