Set up and solve equations for the following business situations.
En Vogue Menswear ordered shortsleeve shirts for $23.00 each and longsleeve 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 calculate: The number of shortsleeves and long sleeve shirts ordered, if En Vogue Menswear charges
Given Information:
En Vogue Menswear charges
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:
The sum of price of each item multiply by its quantity equals total price,
Suppose that X be the number of shortsleeves ordered.
Consider the total number of shirts ordered,
Therefore, the number of longsleeves ordered is
Consider the cost of one shortsleeves shirt is
Consider the cost of order of
Now solve the equation,
Solve the parenthesis and combine the unknowns on left side,
(b)
To calculate: The amount earned from the sale of shortsleeves and long sleeve shirts, if En Vogue Menswear charges
Multivariable Calculus
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions
Single Variable Calculus
Finite Mathematics and Applied Calculus (MindTap Course List)
Calculus: Early Transcendentals
Understanding Basic Statistics
Single Variable Calculus: Early Transcendentals, Volume I
Probability and Statistics for Engineering and the Sciences
Elementary Technical Mathematics
Precalculus: Mathematics for Calculus (Standalone Book)
Elementary Geometry For College Students, 7e
Intermediate Algebra
Mathematical Applications for the Management, Life, and Social Sciences
Finite Mathematics
Calculus (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Essentials Of Statistics
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Calculus of a Single Variable
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Elements Of Modern Algebra
Study Guide for Stewart's Multivariable Calculus, 8th
Elementary Geometry for College Students
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Finite Mathematics for the Managerial, Life, and Social Sciences
Research Methods for the Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
College Algebra (MindTap Course List)
Multivariable Calculus
STATISTICS F/BUSINESS+ECONOMICSTEXT
Mathematics For Machine Technology
Research Methods for the Behavioral Sciences (MindTap Course List)
Introduction To Statistics And Data Analysis
Statistics for Business & Economics, Revised (MindTap Course List)