Chapter 5.II, Problem 5RE

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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 online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $190 and the lower-priced speaker dock sells for $80. Last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $3,440. How many of each did it sell?

To determine

**To calculate:** The number of higher-priced speaker dock and lower-priced speaker dock sold last week, if the price of higher-priced speaker dock is

Explanation

**Given Information:**

The price of higher-priced speaker dock is

**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 sum of price of each item multiply by its quantity equals total price,

Suppose that number of higher-priced speaker sold is *X*.

Consider the number of lower-priced speaker is three times as higher-priced,

Consider the price of higher-priced speaker dock,

So, the total sale of higher-priced speaker is

Also consider the total sale,

Now solve the equation

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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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