   Chapter 5, Problem 25AT ### 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

# Set up and solve equations for the following business situations.En Vogue Menswear ordered short-sleeve shirts for $23.00 each and long-sleeve shirts for$28.50 each from Hugo Boss.a. If the total order amounted to $9,862.50 for 375 shirts, how many of each were ordered?b. What was the dollar amount of each type of shirt ordered? (a) To determine To calculate: The number of short-sleeves and long sleeve shirts ordered, if En Vogue Menswear charges$9,862.50 for the order of 375 shirts and for one short-sleeves shirt is $23.00 and for one long-sleeves shirt is of$28.50.

Explanation

Given Information:

En Vogue Menswear charges $9,862.50 for the order of 375 shirts and for one short-sleeves shirt is$23.00 and for one long-sleeves shirt is of $28.50. 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: The sum of price of each item multiply by its quantity equals total price,$15,496.50

Suppose that X be the number of short-sleeves ordered.

Consider the total number of shirts ordered, 375

Therefore, the number of long-sleeves ordered is 375X

Consider the cost of one short-sleeves shirt is $23.00 and of one long-sleeves shirt is$28.50.

Consider the cost of order of 375 shirts, (23.00)X+(28.50)(375X)=9,862.50

Now solve the equation,

(23.00)X+(28.50)(375X)=9,862.50.

Solve the parenthesis and combine the unknowns on left side,

(23.00)X+(28.50)(375X)=9,862

(b)

To determine

To calculate: The amount earned from the sale of short-sleeves and long sleeve shirts, if En Vogue Menswear charges $9,862.50 for the order of 375 shirts and for one short-sleeves shirt is$23.00 and for one long-sleeves shirt is of \$28.50.

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