   Chapter 5.II, Problem 13RE ### 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.The Cookie Monster sells oatmeal cookies for $1.30 per pound and peanut butter cookies for$1.60 per pound.a. If total cookie sales last week amounted to 530 pounds, valued at $755, how many pounds of each type of cookie were sold?b. What dollar amount of each type was sold? (a) To determine To calculate: The pounds of oatmeal cookies and from peanut cookies sold, if the Cookie Monster sold 530 pounds of cookies in$755 and charge per pound of oatmeal cookies is $1.30 and of peanut butter cookies is$1.60.

Explanation

Given Information:

The Cookie Monster sold 530 pounds of cookies in $755 and charge per pound of oatmeal cookies is$1.30 and of peanut butter cookies is $1.60. 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: 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,$15,496.50

Suppose that X be pounds of peanut cookies sold.

Consider the cost of 530 pounds of cookies, $755 Therefore, the pounds of oatmeal cookies sold is 530X Consider the charge per pound of oatmeal cookies is$1.30 and of peanut butter cookies is $1.60. Consider the total amount earned from the sale of 530 pounds of cookies, (1.60)X+(1.30)(530X)=755 Now solve the equation (1.60)X+(1.30)(530X)=755 (b) To determine To calculate: The amount earned from the sale of oatmeal cookies and from peanut cookies, if the Cookie Monster sold 530 pounds of cookies in$755 and charge per pound of oatmeal cookies is $1.30 and of peanut butter cookies is$1.60.

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