Equal Measures Solutions Guide Kitchen Math Series Resource #16
Equal Measures #16: Solutions Guide
Step-by-Step Key
Multiplication, Division & Fractions
Master Kitchen Equivalents Chart (From Worksheet)
Key Conversion Ratios
Spoons & Cups
• 3 teaspoons = 1 tablespoon
• 16 tablespoons = 1 cup
• 1 tbsp = 1/2 oz (fluid/weight)
Volume & Fluid Ounces
• 1 cup = 8 oz = ½ pint
• 2 cups = 16 oz = 1 pint
• 4 cups = 32 oz = 1 quart
• 2 quarts = 64 oz = ½ gallon
• 4 quarts = 128 oz = 1 gallon
Solid Baking Ingredients
• 1 square chocolate = 1 ounce
• 2 tablespoons butter = 1 ounce
• 1 stick butter = 4 ounces
• 1 stick butter = 8 tbsp = ½ cup
Detailed Solutions: Questions 1 – 6
Page 1 of 2
1
How many squares would give you 4 ounces of chocolate?
Equivalent: 1 square of chocolate = 1 ounce
Calculation: \(4\text{ oz} \div 1\text{ oz/square} = 4\text{ squares}\)
Final Answer: 4 squares
2
Two pints of ice cream is how many ounces?
Equivalent: 1 pint = 16 ounces (or 2 cups)
Calculation: \(2\text{ pints} \times 16\text{ oz/pint} = 32\text{ oz}\)
Final Answer: 32 ounces
3
How many teaspoons would give you 3 tablespoons of baking soda?
Equivalent: 1 tablespoon = 3 teaspoons
Calculation: \(3\text{ tbsp} \times 3\text{ tsp/tbsp} = 9\text{ teaspoons}\)
Final Answer: 9 teaspoons
4
How many tablespoons would give you 4 ounces of peanut butter?
Equivalent: 1 cup = 8 oz = 16 tbsp \(\implies\) 2 tbsp = 1 oz
Calculation: \(4\text{ oz} \times 2\text{ tbsp/oz} = 8\text{ tablespoons}\)
Final Answer: 8 tablespoons
5
Three quarts would give you how many cups of soup?
Equivalent: 1 quart = 4 cups
Calculation: \(3\text{ quarts} \times 4\text{ cups/quart} = 12\text{ cups}\)
Final Answer: 12 cups
6
If a recipe called for 16 ounces of flour. How many cups would you use?
Equivalent: 1 cup = 8 ounces
Calculation: \(16\text{ oz} \div 8\text{ oz/cup} = 2\text{ cups}\)
Final Answer: 2 cups
Pro Tip: When converting from smaller units to larger units, divide; from larger to smaller, multiply.
Kitchen Math Workbook • Page 40
Equal Measures #16
Questions 7 – 13 (Continued)
Kitchen Math Workbook • Page 41
Word Problems: Questions 7 – 12
Multi-Step Volume & Weight Conversions
7
Calls for 2 tbsp molasses; only have a teaspoon. How many teaspoons?
\(1\text{ tbsp} = 3\text{ tsp} \implies 2 \times 3 = 6\text{ tsp}\)
Answer: 6 teaspoons
8
Recipe calls for 24 ounces of juice. How many cups would you use?
\(1\text{ cup} = 8\text{ oz} \implies 24\text{ oz} \div 8 = 3\text{ cups}\)
Answer: 3 cups
9
Soup calls for ½ gallon of stock. How many cups would you use?
\(\frac{1}{2}\text{ gal} = 2\text{ qt};\; 2\text{ qt} \times 4\text{ c/qt} = 8\text{ cups}\) (or \(64 \div 8\))
Answer: 8 cups
10
How many cups would give you 2 quarts of water?
\(1\text{ quart} = 4\text{ cups} \implies 2 \times 4 = 8\text{ cups}\)
Answer: 8 cups
11
Calls for \(1\,\frac{1}{2}\) pints of water. How many cups would you use?
\(1\text{ pint} = 2\text{ cups} \implies 1.5 \times 2 = 3\text{ cups}\)
Answer: 3 cups
12
Recipe calls for 8 ounces of chocolate. How many squares?
\(1\text{ square} = 1\text{ ounce} \implies 8\text{ oz} \div 1 = 8\text{ squares}\)
Answer: 8 squares
13
Convert the following recipe: Step-by-Step Breakdown
Parts a – g
Part
Original Measurement
Target Unit
Math Operation & Ratio
Correct Fill-In
a.
12 ounces of flour
cups of flour
\(12 \div 8 = \frac{12}{8} = 1\frac{4}{8}\)
\(1\,\frac{1}{2}\) cups (or 1.5)
b.
8 ounces of oatmeal
cups of oatmeal
\(8 \div 8 = 1\)
1 cup
c.
1 tablespoon baking powder
teaspoons
\(1 \times 3 = 3\)
3 teaspoons
d.
½ tablespoon baking soda
teaspoons
\(\frac{1}{2} \times 3 = \frac{3}{2}\)
\(1\,\frac{1}{2}\) teaspoons (or 1.5)
e.
4 ounces chocolate chips
cups of chocolate chips
\(4 \div 8 = \frac{4}{8} = \frac{1}{2}\)
½ cup (or 0.5)
f.
3 teaspoons of vanilla
tablespoon of vanilla
\(3 \div 3 = 1\)
1 tablespoon
g.
6 ounces of butter
sticks of butter
\(6 \div 4 = \frac{6}{4} = 1\frac{2}{4}\)
\(1\,\frac{1}{2}\) sticks (or 1.5)
Common Misconceptions to Watch For:
1. Butter vs. Liquid Ounces: A stick of butter is measured in ounces by weight (4 oz = ½ cup = 8 tbsp). For butter, 2 tablespoons = 1 ounce.
2. Fractional Spoons (13d): Half of a tablespoon is \(\frac{1}{2} \times 3 = 1\,\frac{1}{2}\) teaspoons. Remind students that \(\frac{3}{2} = 1.5\).
All 13 problems verified against the Master Kitchen Equivalents Chart.
Page 2 of 2
Equal Measures Practice Worksheet Culinary Math Practice
Name:
Date:
Period:
Equal Measures: Kitchen Math
Use multiplication, division, and fractions to solve kitchen measurement conversions.
Worksheet #2
Kitchen Measurement Equivalents Keep these equivalents in mind for all problems
Spoons & Cups
• 3 teaspoons = 1 tablespoon
• 16 tablespoons = 1 cup
Cups, Ounces & Pints
• 1 cup = 8 ounces = ½ pint
• 2 cups = 16 ounces = 1 pint
• 4 cups = 32 ounces = 1 quart
Quarts, Gallons & Baking
• 2 quarts = 64 ounces = ½ gallon
• 4 quarts = 128 ounces = 1 gallon
• 1 square chocolate = 1 ounce
• 1 stick butter = 4 ounces
Directions: Use the chart above to answer each question. Show your calculations in the box provided.
1
How many squares would give you 6 ounces of chocolate?
Work space:
Answer:
2
Three pints of frozen yogurt is how many ounces?
Work space:
Answer:
3
How many teaspoons would give you 5 tablespoons of cinnamon?
Work space:
Answer:
4
How many tablespoons would give you 6 ounces of cream cheese?
Work space:
Answer:
5
Five quarts would give you how many cups of broth?
Work space:
Answer:
6
If a recipe called for 32 ounces of sugar, how many cups would you use?
Work space:
Answer:
Continue to Page 2 for Questions 7 – 13 Page 1 of 2
Equal Measures: Kitchen Math • Worksheet #2 (Continued)
Student Name:
Kitchen Word Problems: Questions 7 – 12
7
Calls for 4 tbsp honey, but you only have a teaspoon. How many teaspoons?
Answer:
8
A recipe calls for 40 ounces of apple cider. How many cups would you use?
Answer:
9
A recipe for fruit punch calls for 1 gallon of lemonade. How many cups?
Answer:
10
How many cups would give you 3 quarts of milk?
Answer:
11
Calls for \(2\,\frac{1}{2}\) pints of heavy cream. How many cups would you use?
Answer:
12
Recipe calls for 12 ounces of chocolate. How many squares would you use?
Answer:
13
Convert the following recipe to equivalent measurements:
a. 20 ounces of flour
= cups of flour
b. 24 ounces of oatmeal
= cups of oatmeal
c. 2 tablespoons of baking powder
= teaspoons
d. \(1\,\frac{1}{2}\) tablespoons of cornstarch
= teaspoons
e. 6 ounces of chocolate chips
= cups of chips
f. 6 teaspoons of almond extract
= tablespoons
g. 8 ounces of butter
= sticks of butter
Double-check your unit conversions before turning in your worksheet. Page 2 of 2
Practice Worksheet Answer Key Teacher Resource Worksheet #2 Key
Practice Worksheet: Answer Key
Verified Solutions
Kitchen Conversions Lesson
Unit Conversion Factors Used Scoring Guide & Answers
• \(1\text{ tbsp} = 3\text{ tsp}\)
• \(1\text{ cup} = 8\text{ oz} = 16\text{ tbsp}\)
• \(1\text{ stick butter} = 4\text{ oz}\)
• \(1\text{ pt} = 2\text{ cups} = 16\text{ oz}\)
• \(1\text{ qt} = 4\text{ cups} = 32\text{ oz}\)
• \(1\text{ sq chocolate} = 1\text{ oz}\)
Page 1 Solutions: Questions 1 – 6
Page 1 of 2
1
How many squares would give you 6 ounces of chocolate?
Rule: \(1\text{ square} = 1\text{ ounce}\)
Work: \(6\text{ oz} \div 1\text{ oz/square} = 6\text{ squares}\)
Answer: 6 squares
2
Three pints of frozen yogurt is how many ounces?
Rule: \(1\text{ pint} = 16\text{ ounces}\)
Work: \(3\text{ pints} \times 16\text{ oz/pint} = 48\text{ oz}\)
Answer: 48 ounces
3
How many teaspoons would give you 5 tablespoons of cinnamon?
Rule: \(1\text{ tablespoon} = 3\text{ teaspoons}\)
Work: \(5\text{ tbsp} \times 3\text{ tsp/tbsp} = 15\text{ tsp}\)
Answer: 15 teaspoons
4
How many tablespoons would give you 6 ounces of cream cheese?
Rule: \(1\text{ oz} = 2\text{ tablespoons}\) (\(16\text{ tbsp} = 8\text{ oz}\))
Work: \(6\text{ oz} \times 2\text{ tbsp/oz} = 12\text{ tbsp}\)
Answer: 12 tablespoons
5
Five quarts would give you how many cups of broth?
Rule: \(1\text{ quart} = 4\text{ cups}\)
Work: \(5\text{ quarts} \times 4\text{ cups/quart} = 20\text{ cups}\)
Answer: 20 cups
6
If a recipe called for 32 ounces of sugar, how many cups?
Rule: \(1\text{ cup} = 8\text{ ounces}\)
Work: \(32\text{ oz} \div 8\text{ oz/cup} = 4\text{ cups}\)
Answer: 4 cups
Equal Measures Practice Worksheet #2 • Teacher Solutions Page 1 of 2
Worksheet #2 Key
Questions 7 – 13 Solutions
Equal Measures Practice
Word Problems: Questions 7 – 12
7. 4 tbsp honey to teaspoons:
\(4\text{ tbsp} \times 3 = 12\text{ tsp}\)
Answer: 12 teaspoons
8. 40 ounces apple cider to cups:
\(40\text{ oz} \div 8 = 5\text{ cups}\)
Answer: 5 cups
9. 1 gallon lemonade to cups:
\(4\text{ qt} \times 4\text{ c/qt} = 16\text{ cups}\) (or \(128 \div 8\))
Answer: 16 cups
10. 3 quarts milk to cups:
\(3\text{ qt} \times 4\text{ c/qt} = 12\text{ cups}\)
Answer: 12 cups
11. \(2\,\frac{1}{2}\) pints cream to cups:
\(2.5\text{ pt} \times 2\text{ c/pt} = 5\text{ cups}\)
Answer: 5 cups
12. 12 ounces chocolate to squares:
\(12\text{ oz} \div 1 = 12\text{ squares}\)
Answer: 12 squares
13
Question 13 Recipe Conversions: Scoring Table
Parts a – g
Part
Given Quantity
Target Unit
Calculation
Correct Answer
a.
20 ounces of flour
cups of flour
\(20 \div 8 = 2\frac{4}{8}\)
\(2\,\frac{1}{2}\) cups (or 2.5)
b.
24 ounces of oatmeal
cups of oatmeal
\(24 \div 8 = 3\)
3 cups
c.
2 tablespoons baking powder
teaspoons
\(2 \times 3 = 6\)
6 teaspoons
d.
\(1\,\frac{1}{2}\) tbsp cornstarch
teaspoons
\(1.5 \times 3 = 4.5\)
\(4\,\frac{1}{2}\) teaspoons (or 4.5)
e.
6 ounces chocolate chips
cups of chips
\(6 \div 8 = \frac{3}{4}\)
¾ cup (or 0.75)
f.
6 teaspoons almond extract
tablespoons
\(6 \div 3 = 2\)
2 tablespoons
g.
8 ounces of butter
sticks of butter
\(8 \div 4 = 2\)
2 sticks
Grading Tip: Accept both simplified fractions (e.g. \(2\,\frac{1}{2}\)) and decimal equivalents (2.5) for full credit.
Total Points: 19
Equal Measures Practice Worksheet #2 • Teacher Solutions Page 2 of 2
