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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

Among other ingredients, a recipe for linguini with red sauce calls for the following: 24 ounces linguini pasta, 6 2 5 tablespoons minced garlic. 5 cups fresh tomatoes, and 10 tablespoons Parmesan cheese. If the recipe serves 8 people, recalculate the quantities to serve 5 people.

Pasta: ______________

Garlic: ____________________

Tomatoes: _______________

Cheese: _________________

Chefs and cooks measure, mix, and cook ingredients according to recipes, using a variety of pots. pans, cutlery, and other kitchen equipment.

A working knowledge of fractions is one of the job requirements for people employed in the culinary arts. Most foods and other recipe ingredients are measured and combined using fractions.

Chapter 2, Problem 30AT, 30. Among other ingredients, a recipe for linguini with red sauce calls for the following: 24 ounces

To determine

To calculate: The quantities of ingredients to serve 5 people from the recipe that would serve 8 people. Among other ingredients, recipe for linguini with red sauce calls for 24 ounces of pasta, 625 tablespoons minced garlic, 5 cups fresh tomatoes, and 10 tablespoon parmesan cheese.

Explanation

Given Information:

Ingredients of recipe serving 8 people,

Pasta: 24 ounces

Minced garlic: 625 tablespoons

Fresh tomatoes: 5 cups

Parmesan cheese: 10 tablespoon

Formula used:

Steps for multiplying fractions:

Step 1: Multiply all the numerators to form the new numerator.

Step 2: Multiply all the denominators to form the new denominators.

Step 3: Reduce the answer to lowest terms if necessary.

Calculation:

To serve 5 people, the quantities of ingredients that would serve 8 people shall be divided by 8 to get approx quantity for single serve and then multiplied by 5 to obtain the quantity for 5 serve,

Thus, the word problem can be represented as,

For 5 serve of Pasta, the quantity, 24 ounces, for 8 serve will be divided by 8 and then multiplied by 5,

Pasta(5serve)=Quantityof8serve8×5 =248×5

Apply cancellation and perform multiplication,

Pasta(5serve)=2438×5 =3×5 =15

Therefore, the quantity of Pasta that can serve 5 people is 15ounces.

For 5 serve of Minced garlic, the quantity, 625 tablespoons, for 8 serve will be divided by 8 and then multiplied by 5,

Convert mixed number into improper fraction,

625=325

Minced garlic(5serve)=Quantityof8serve8×5 =3258×5

Apply cancellation and perform multiplication,

Minced garlic(5serve)=4325×8×5 =4

Therefore, the quantity of Minced garlic that can serve 5 people is 4tablespoons

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