Contemporary Mathematics for Busin...

8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

Use ratio and proportion to solve the following business situations.

The Pizza Palace makes 30 pizzas every 2 hours to accommodate the lunch crowd.

a. If lunch lasts 3 hours, how many pizzas does Pizza Palace make?

b. If each pizza can serve 4 people, how many people are served during the 3-hour lunch period?

(a)

To determine

To calculate: The number of pizzas can be made in 3 hours, if in the lunch timing the Pizza Place is make 30 pizzas in 2 hours.

Explanation

Given Information:

In the lunch timing the Pizza Place is make 30 pizzas in 2 hours.

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 pizzas made in 3 hours.

Consider the number of pizzas made in 2 hours, 30

The proportion is “ X pizzas is to 3 hours equals 30 pizzas is to 2 hours”,

X3=302

Apply cross multiplication, this gives,

(2)

(b)

To determine

To calculate: The number of people served in 3 hours, if in the lunch timing the Pizza Place is make 30 pizzas in 2 hours and one pizza can be served to 4 people.

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