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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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BuyFindarrow_forward

Contemporary Mathematics for Busin...

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

Use ratio and proportion to solve the following business situations.

Eighty ounces of Lazy Lawn fertilizer covers 1,250 square feet of lawn, a. How many ounces would be required to cover a 4,000-square-foot lawn?

b. If Lazy Lawn costs $1.19 for a 32-ounce bag, what is the total cost to fertilize the lawn?

(a)

To determine

To calculate: The number of ounces, that can cover the lawn of area 4,000-square-feet, if the lawn of area 1,250-square-feet is covered by 80 ounces.

Explanation

Given Information:

The lawn of area 1,250-square-feet is covered by 80 ounces.

Formula used:

To solve the proportional problem by using cross multiplication, follow the steps as mentioned below.

Step 1: Represent the unknows by a letter.

Step2: Set the proportion in the ratio of 1 on the both side of the equal sign.

Step3: Multiply numerator of the left side ratio with the denominatior of right side ratio and place the product on one side of the equal sign.

Step4: Multiply denominatior of the left side ratio with the nominatior of right side ratio and place the product on other side of the equal sign.(step2 and step3 performing togeter is consider as cross multiplication)

Step5: Solve the unknown value.

Calculation:

Suppose that X be the number of ounces that can cover the lawn of area 4,000-square-feet.

Consider the area 1,250-square-feet covered by 80 ounces. So, the proportion is “X ounces is to 4,000-square-feet equals 80 ounces is to 1,250-square-feet”,

X4,000=801,250

Apply cross multiplication, this gives,

(1250)X=(4,000)801250X=320,000

This equation represents that X is multiplied by 1250

(b)

To determine

To calculate: The cost of ounces required to cover the lawn of area 4,000-square-feet, if the lawn of area 1,250-square-feet is covered by 80 ounces and the cost of 32-ounces bag is $1.19.

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