# Measurement and Conversion Project MGF2106 (Survey of Mathematics)

*label*Mathematics

*timer*Asked: Feb 17th, 2016

**Question description**

**Purpose**: Work individually or as a group to complete various tasks related to measurement and
conversion, to enhance your understanding and answer the questions. In this project you will be
asked to perform multiple conversions within the context of baking and the medical field.

**
Assignment:** Complete the project, compiling the various parts into a single document which is
submitted to the Dropbox in Falcon Online. The Discussion Board in Falcon Online may be
used to find classmates for working as a group. If you work as a group, each student must submit the
project solutions to the Dropbox in Falcon Online by the posted due date with each participants’ name on
the submission.

Format for Dropbox Submission:

1. The submission should be a single document formatted as .docx, .doc, .rtf, or .pdf.

2. The submission should be typed. If there are parts of the assignment that need to be drawn by hand, they should be done neatly, scanned, and included in the final submission. Please check with your instructor if you have questions about the format of the document.

3. Put your name on the document.

**Part 1: Baking**

Study the recipe for Old Fashioned Two-Layer Pound Cake and answer the questions.

*
Old Fashioned Pound Cake Ingredients*

- 2-cups cake flour
- 1 ½ -cups granulated sugar
- 3-teaspoons baking soda
- 1-teaspoon salt
- 3/4-cup butter cut into bits
- 1-Tablespoon vegetable oil
- 1-cup all-purpose flour
- 6-eggs
- 1-cup whole milk
- 2-teaspoons vanilla flavoring

**
Directions**

Preheat oven to 350° F

Mix all ingredients together mixing on medium high for at least 10 minutes until smooth.

Pour into lightly greased cake pans (2 layer pans)

Bake for 1 hour Cool on wire rack for 1 hour

1) List the ingredients that use a teaspoon and the amount needed. Add these to obtain the total number of teaspoons of ingredients needed.

2) List the ingredients that call for tablespoons of ingredients.

3) If 1 tablespoon equals 3 teaspoons, convert your answer from number 1 to tablespoons. From this answer and the answer from number 2 find the total number of tablespoons of ingredients needed for the pound cake.

4) If 16 tablespoons equals 1 cup, convert the total tablespoons of ingredients from number 3 to cups.

5) List the other ingredients (those not already accounted for) written in cups. Note that 1 egg equals 1/4 cup.

6) How many total cups of ingredients are needed for this recipe?

7) The above recipe will make a two-layer cake. Change the amount of ingredients to show the amounts needed for a one-layer cake.

8) If there are approximately 18 1/3 cups of flour in a 5-pound bag of flour, how many cakes can you make from a 5-pound bag of cake flour?

9) If each item can be purchased in the following amounts, how many of each ingredient would you have to purchase to make five Two-Layer Old Fashioned Pound Cakes? Note you cannot purchase partial packages.

- Cake Flour: 5-pound bag $4.28
- Sugar: 1-pound bag $1.26 (Note that 1 pound equals 2 1/4 cups)
- Baking Soda: 16-ounce box $0.67 (Note that 7-ounces equals 1 1/4 cups which equals 60 teaspoons)
- Salt: 16-ounce container $1.09 (Note that 1 ounce is approximately 5 teaspoons) ! Butter: 1-pound $1.99 (Note that 1 pound equals 2 cups of butter)
- Vegetable Oil: 8-ounces $2.98 (Note that 1 ounce equals 2 tablespoons)
- All-purpose flour: 5-pound bag $1.29 ! Eggs: 12 eggs $1.99 or 18 eggs $2.59
- Milk: 1-pint $1.09 or 1-quart $1.55 (Note that 1 pint equals 2 cups and 2 pints equals 1 quart)
- Vanilla: 4 ounces $4.37 (Note that 1 ounce equals 6 teaspoons)

**Part 2**:

**Converting within the Metric System**

You have been hired as the new Lab Manager for your local hospital. As manager you must ensure that the Doctors have all the medications they require and in the correct dosages. You are in charge of the following drugs/medications: Losartan, Atenolol, Metformin, Hydrochlorothiazide, Protocol A, and Protocol B. On your first day at your new job you are given the supply list for you medications. On this list is the quantity of the supplies on hand. Your new supervisor wishes you to reorganize the list to include the original quantity/units to a new list of quantities and different units.

Original List of Drugs and Quantities:

- Losartan: 5000 dekagrams
- Atenolol: 2500 milligrams
- Metformin: 5500 hectograms
- Hydrochlorothiazide: 6000 kilograms
- Protocol A: 7000 deciliters
- Protocol B: 4200 kiloliters

**New list**

**Convert each of the above into the indicated unit**

- Losartan to centigrams
- Atenolol to micrograms
- Metformin to kilograms
- Hydrochlorothiazide to milligrams
- Protocol A to microliters
- Protocol B to kiloliters

**Follow up questions:**

7) The range for doses for Losartan per day is 25 – 100 milligrams. What would be the corresponding range for doses using micrograms?

8) If an epidemic hits town, would the Hospital have enough Losartan on hand to give 20,000,000 people a dose of 75 milligrams each? Explain your answer

**Part 3: Impact Question**

Provide an example, or examples, of how the concepts covered in this assignment could be applied in life or future career choices other than in cooking or medicine. The answer should show sufficient thought, effort, and research.