   Chapter 5.II, Problem 11TIE ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

#### Solutions

Chapter
Section ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Don and Chuck are salespeople for Security One Alarms. Last week Don sold 12 fewer alarm systems than Chuck did. Together they sold 44. How many did each sell?

To determine

To calculate: The number of securities One Alarms sold by Don and by Chuck, if number of alarms sold by Don last week is 12 fewer than Chuck did and total number of alarms sold by Don and Chuck is 44.

Explanation

Given Information:

The number of alarms sold by Don last week is 12 fewer than Chuck did and total number of alarms sold by Don and Chuck is 44.

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 and phrases.

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:

Consider the number of alarms sold by Don last week is 12 fewer than Chuck did and total number of alarms sold by Don and Chuck is 44.

Underline the keyword by using the table of of key and phrases,

 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 @

The number of alarms sold by Don last week is 12 fewer than Chuck did and total number of alarms sold by Don and Chuck is 44.

Suppose that X be the number of alarms sold by Chuck.

Consider that alarm sold by Don last week is 12 fewer than Chuck did,

Therefore, alarm sold by Don last week is X12

Also consider total number of alarms sold by Don and Chuck is 44, X+X12=44

Now solve the equation X+X12=44

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