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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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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.

At Trident Sporting Goods, the inventory ratio of equipment to clothing is 8 to 5. If the clothing inventory amounts to $130,000, what is the amount of the equipment inventory?

To determine

To calculate: The inventory equipment amount, if at Trident Sporting goods the clothing inventory amount is $130,000 and the ratio of equipment to clothing is 8 to 5.

Explanation

Given Information:

At Trident Sporting goods the clothing inventory amount is $130,000 and the ratio of equipment to clothing is 8 to 5.

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 inventory equipment amount.

Consider the clothing inventory amount, $130,000

Also consider the ratio of equipment to clothing is 8 to 5.

The proportion is “ X equipment is to $130,000 clothing equals 8 equipment is to 5 clothing”,

X130,000=85

Apply cross multiplication, this gives,

(5)X</

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