Math worksheet with breakfast-themed word problems involving measurements, conversions, and calculations.
A math worksheet titled "Breakfast - A Great Start!" featuring six word problems related to cooking and food measurements, with a small illustration of a stack of pancakes on the right side.
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Show Answer Key & Explanations
Step-by-step solution for: CONSUMER MATH AT HOME: Life Skills Word Problems - Cooking ...
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Show Answer Key & Explanations
Step-by-step solution for: CONSUMER MATH AT HOME: Life Skills Word Problems - Cooking ...
Here are the step-by-step solutions for each problem on the worksheet.
1. Pancake Mix and Water
* Goal: Find out how much mix and water is needed for 12 pancakes.
* Given: 6 pancakes need 1 cup of mix and $\frac{3}{4}$ cup of water.
* Step 1: Compare the number of pancakes. You want to make 12, which is exactly double 6 ($6 \times 2 = 12$).
* Step 2: Since you are doubling the pancakes, you must double the ingredients.
* Mix: $1 \text{ cup} \times 2 = 2 \text{ cups}$.
* Water: $\frac{3}{4} \text{ cup} \times 2$. To multiply a fraction by a whole number, multiply the top number (numerator) by the whole number: $\frac{3 \times 2}{4} = \frac{6}{4}$.
* Simplify: $\frac{6}{4}$ simplifies to $1 \frac{2}{4}$, which reduces further to $1 \frac{1}{2}$ cups.
2. Cereal Calories
* Part a) Calories in $\frac{1}{2}$ cup whole milk
* Given: 1 cup cereal = 120 calories. Adding $\frac{1}{2}$ cup whole milk makes the total 190 calories.
* Step: Subtract the cereal calories from the total to find the milk calories.
* $190 - 120 = 70$ calories.
* Part b) Calories saved using skim milk
* Given: $\frac{1}{2}$ cup skim milk has 40 calories. From part (a), we know $\frac{1}{2}$ cup whole milk has 70 calories.
* Step: Subtract the skim milk calories from the whole milk calories to see the difference.
* $70 - 40 = 30$ calories saved.
3. Timer Buzz Time
* Goal: Find the time 55 minutes after 2:20 p.m.
* Step 1: Add minutes to reach the next hour. From 2:20 to 3:00 is 40 minutes.
* Step 2: See how many minutes are left from the timer. $55 - 40 = 15$ minutes remaining.
* Step 3: Add the remaining 15 minutes to 3:00.
* 3:00 + 15 minutes = 3:15 p.m.
4. Orange Juice Servings
* Goal: Find how many $\frac{1}{2}$ cup servings are in 2 quarts.
* Step 1: Convert quarts to cups. There are 4 cups in 1 quart. So, in 2 quarts, there are $2 \times 4 = 8$ cups.
* Step 2: Find how many half-cups fit into 8 cups. Since there are two half-cups in every 1 cup, you multiply by 2.
* $8 \times 2 = 16$ servings.
5. Bacon and Eggs
* Part a) People fed with eggs
* Given: A dozen eggs = 12 eggs. Each omelet needs 3 eggs.
* Step: Divide the total eggs by the eggs per person.
* $12 \div 3 = 4$ people.
* Part b) Slices of bacon per person
* Given: 8 slices of bacon total. We found in part (a) that this feeds 4 people.
* Step: Divide the bacon slices by the number of people.
* $8 \div 4 = 2$ slices per person.
6. Cost of Breakfast
* Part a) Cost per person at home
* Given: Bacon costs $\$2.59$. Eggs cost $\$1.17$. The family has 4 people.
* Step 1: Find the total cost. $\$2.59 + \$1.17 = \$3.76$.
* Step 2: Divide the total cost by 4 people.
* $3.76 \div 4$:
* $36 \div 4 = 9$ (so $3.60 \div 4 = 0.90$)
* Remaining is $0.16$. $16 \div 4 = 4$ (so $0.16 \div 4 = 0.04$)
* $0.90 + 0.04 = \$0.94$.
* Part b) Money saved eating at home
* Given: Restaurant cost is $\$2.95$ per person. Home cost (from part a) is $\$0.94$ per person. Family size is 4.
* Method 1 (Per Person): Find savings per person first.
* $\$2.95 - \$0.94 = \$2.01$ saved per person.
* Total savings: $\$2.01 \times 4 = \$8.04$.
* Method 2 (Total Bill):
* Restaurant Total: $\$2.95 \times 4 = \$11.80$.
* Home Total: $\$3.76$.
* Savings: $\$11.80 - \$3.76 = \$8.04$.
Final Answer:
1. 2 cups of pancake mix, 1 1/2 cups of water
2. a) 70 calories
b) 30 calories
3. 3:15 p.m.
4. 16 servings
5. a) 4 people
b) 2 slices
6. a) $0.94
b) $8.04
1. Pancake Mix and Water
* Goal: Find out how much mix and water is needed for 12 pancakes.
* Given: 6 pancakes need 1 cup of mix and $\frac{3}{4}$ cup of water.
* Step 1: Compare the number of pancakes. You want to make 12, which is exactly double 6 ($6 \times 2 = 12$).
* Step 2: Since you are doubling the pancakes, you must double the ingredients.
* Mix: $1 \text{ cup} \times 2 = 2 \text{ cups}$.
* Water: $\frac{3}{4} \text{ cup} \times 2$. To multiply a fraction by a whole number, multiply the top number (numerator) by the whole number: $\frac{3 \times 2}{4} = \frac{6}{4}$.
* Simplify: $\frac{6}{4}$ simplifies to $1 \frac{2}{4}$, which reduces further to $1 \frac{1}{2}$ cups.
2. Cereal Calories
* Part a) Calories in $\frac{1}{2}$ cup whole milk
* Given: 1 cup cereal = 120 calories. Adding $\frac{1}{2}$ cup whole milk makes the total 190 calories.
* Step: Subtract the cereal calories from the total to find the milk calories.
* $190 - 120 = 70$ calories.
* Part b) Calories saved using skim milk
* Given: $\frac{1}{2}$ cup skim milk has 40 calories. From part (a), we know $\frac{1}{2}$ cup whole milk has 70 calories.
* Step: Subtract the skim milk calories from the whole milk calories to see the difference.
* $70 - 40 = 30$ calories saved.
3. Timer Buzz Time
* Goal: Find the time 55 minutes after 2:20 p.m.
* Step 1: Add minutes to reach the next hour. From 2:20 to 3:00 is 40 minutes.
* Step 2: See how many minutes are left from the timer. $55 - 40 = 15$ minutes remaining.
* Step 3: Add the remaining 15 minutes to 3:00.
* 3:00 + 15 minutes = 3:15 p.m.
4. Orange Juice Servings
* Goal: Find how many $\frac{1}{2}$ cup servings are in 2 quarts.
* Step 1: Convert quarts to cups. There are 4 cups in 1 quart. So, in 2 quarts, there are $2 \times 4 = 8$ cups.
* Step 2: Find how many half-cups fit into 8 cups. Since there are two half-cups in every 1 cup, you multiply by 2.
* $8 \times 2 = 16$ servings.
5. Bacon and Eggs
* Part a) People fed with eggs
* Given: A dozen eggs = 12 eggs. Each omelet needs 3 eggs.
* Step: Divide the total eggs by the eggs per person.
* $12 \div 3 = 4$ people.
* Part b) Slices of bacon per person
* Given: 8 slices of bacon total. We found in part (a) that this feeds 4 people.
* Step: Divide the bacon slices by the number of people.
* $8 \div 4 = 2$ slices per person.
6. Cost of Breakfast
* Part a) Cost per person at home
* Given: Bacon costs $\$2.59$. Eggs cost $\$1.17$. The family has 4 people.
* Step 1: Find the total cost. $\$2.59 + \$1.17 = \$3.76$.
* Step 2: Divide the total cost by 4 people.
* $3.76 \div 4$:
* $36 \div 4 = 9$ (so $3.60 \div 4 = 0.90$)
* Remaining is $0.16$. $16 \div 4 = 4$ (so $0.16 \div 4 = 0.04$)
* $0.90 + 0.04 = \$0.94$.
* Part b) Money saved eating at home
* Given: Restaurant cost is $\$2.95$ per person. Home cost (from part a) is $\$0.94$ per person. Family size is 4.
* Method 1 (Per Person): Find savings per person first.
* $\$2.95 - \$0.94 = \$2.01$ saved per person.
* Total savings: $\$2.01 \times 4 = \$8.04$.
* Method 2 (Total Bill):
* Restaurant Total: $\$2.95 \times 4 = \$11.80$.
* Home Total: $\$3.76$.
* Savings: $\$11.80 - \$3.76 = \$8.04$.
Final Answer:
1. 2 cups of pancake mix, 1 1/2 cups of water
2. a) 70 calories
b) 30 calories
3. 3:15 p.m.
4. 16 servings
5. a) 4 people
b) 2 slices
6. a) $0.94
b) $8.04
Parent Tip: Review the logic above to help your child master the concept of consumer math worksheet for high school.