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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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Chapter
Section
BuyFindarrow_forward

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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