CONSUMER MATH AT HOME: Life Skills Word Problems - Cooking ... - Free Printable
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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 ...
Let's solve each problem step by step:
---
To make six pancakes, you need 1 cup of pancake mix and ½ cup of water. How much will you need to make 12 pancakes?
#### Solution:
- To make 6 pancakes, you need:
- 1 cup of pancake mix
- ½ cup of water
- To make 12 pancakes, which is double the amount of 6 pancakes, you will need double the ingredients:
- Pancake mix: \( 1 \times 2 = 2 \) cups
- Water: \( \frac{1}{2} \times 2 = 1 \) cup
#### Answer:
\[ \boxed{2 \text{ cups of pancake mix}, 1 \text{ cup of water}} \]
---
There are 120 calories in one cup of dry cereal. By adding ½ cup whole milk, you get 190 calories in the bowl of cereal.
#### Part (a): How many calories in ½ cup whole milk?
- Total calories in the bowl with cereal and milk: 190 calories
- Calories in 1 cup of dry cereal: 120 calories
- Calories from milk: \( 190 - 120 = 70 \) calories
Since this is for ½ cup of milk:
\[ \text{Calories in ½ cup whole milk} = 70 \]
#### Part (b): ½ cup skim milk contains 40 calories. How many calories do you save by using skim milk instead of whole milk?
- Calories in ½ cup whole milk: 70
- Calories in ½ cup skim milk: 40
- Calories saved: \( 70 - 40 = 30 \)
#### Answers:
\[ \boxed{70 \text{ calories}, 30 \text{ calories}} \]
---
Alex is baking a cake. He put the cake in the oven at 2:00 p.m. He set the timer for 55 minutes. What time will it be when the timer buzzes?
#### Solution:
- Start time: 2:00 p.m.
- Timer duration: 55 minutes
Adding 55 minutes to 2:00 p.m.:
- 2:00 p.m. + 55 minutes = 2:55 p.m.
#### Answer:
\[ \boxed{2:55 \text{ p.m.}} \]
---
You have a 2-quart container of orange juice. There are 4 cups in a quart. How many ½ cup servings in 2 quarts?
#### Solution:
- 1 quart = 4 cups
- 2 quarts = \( 2 \times 4 = 8 \) cups
- Each serving is ½ cup, so the number of servings is:
\[
\frac{\text{Total cups}}{\text{Cups per serving}} = \frac{8}{\frac{1}{2}} = 8 \times 2 = 16
\]
#### Answer:
\[ \boxed{16} \]
---
You have 8 slices of bacon and a dozen eggs. You need 3 eggs per person to make an omelet.
#### Part (a): For how many people can you make omelets with a dozen eggs?
- A dozen eggs = 12 eggs
- Eggs needed per person: 3 eggs
- Number of people:
\[
\frac{\text{Total eggs}}{\text{Eggs per person}} = \frac{12}{3} = 4
\]
#### Part (b): How many slices of bacon will each person get?
- Total slices of bacon: 8
- Number of people: 4
- Slices of bacon per person:
\[
\frac{\text{Total bacon slices}}{\text{Number of people}} = \frac{8}{4} = 2
\]
#### Answers:
\[ \boxed{4 \text{ people}, 2 \text{ slices of bacon per person}} \]
---
A pound of bacon costs $2.59. A dozen eggs costs $1.17.
#### Part (a): If you cook all this for a family of four, how much does it cost to feed each person?
- Cost of bacon: $2.59
- Cost of eggs: $1.17
- Total cost:
\[
2.59 + 1.17 = 3.76
\]
- Cost per person for a family of 4:
\[
\frac{\text{Total cost}}{\text{Number of people}} = \frac{3.76}{4} = 0.94
\]
#### Part (b): It costs $2.95 per person for bacon and eggs at a restaurant. How much can a family of four save by eating at home?
- Cost per person at the restaurant: $2.95
- Cost per person at home: $0.94
- Savings per person:
\[
2.95 - 0.94 = 2.01
\]
- Total savings for a family of 4:
\[
2.01 \times 4 = 8.04
\]
#### Answers:
\[ \boxed{0.94, 8.04} \]
---
1. \( \boxed{2 \text{ cups of pancake mix}, 1 \text{ cup of water}} \)
2. \( \boxed{70 \text{ calories}, 30 \text{ calories}} \)
3. \( \boxed{2:55 \text{ p.m.}} \)
4. \( \boxed{16} \)
5. \( \boxed{4 \text{ people}, 2 \text{ slices of bacon per person}} \)
6. \( \boxed{0.94, 8.04} \)
---
Problem 1:
To make six pancakes, you need 1 cup of pancake mix and ½ cup of water. How much will you need to make 12 pancakes?
#### Solution:
- To make 6 pancakes, you need:
- 1 cup of pancake mix
- ½ cup of water
- To make 12 pancakes, which is double the amount of 6 pancakes, you will need double the ingredients:
- Pancake mix: \( 1 \times 2 = 2 \) cups
- Water: \( \frac{1}{2} \times 2 = 1 \) cup
#### Answer:
\[ \boxed{2 \text{ cups of pancake mix}, 1 \text{ cup of water}} \]
---
Problem 2:
There are 120 calories in one cup of dry cereal. By adding ½ cup whole milk, you get 190 calories in the bowl of cereal.
#### Part (a): How many calories in ½ cup whole milk?
- Total calories in the bowl with cereal and milk: 190 calories
- Calories in 1 cup of dry cereal: 120 calories
- Calories from milk: \( 190 - 120 = 70 \) calories
Since this is for ½ cup of milk:
\[ \text{Calories in ½ cup whole milk} = 70 \]
#### Part (b): ½ cup skim milk contains 40 calories. How many calories do you save by using skim milk instead of whole milk?
- Calories in ½ cup whole milk: 70
- Calories in ½ cup skim milk: 40
- Calories saved: \( 70 - 40 = 30 \)
#### Answers:
\[ \boxed{70 \text{ calories}, 30 \text{ calories}} \]
---
Problem 3:
Alex is baking a cake. He put the cake in the oven at 2:00 p.m. He set the timer for 55 minutes. What time will it be when the timer buzzes?
#### Solution:
- Start time: 2:00 p.m.
- Timer duration: 55 minutes
Adding 55 minutes to 2:00 p.m.:
- 2:00 p.m. + 55 minutes = 2:55 p.m.
#### Answer:
\[ \boxed{2:55 \text{ p.m.}} \]
---
Problem 4:
You have a 2-quart container of orange juice. There are 4 cups in a quart. How many ½ cup servings in 2 quarts?
#### Solution:
- 1 quart = 4 cups
- 2 quarts = \( 2 \times 4 = 8 \) cups
- Each serving is ½ cup, so the number of servings is:
\[
\frac{\text{Total cups}}{\text{Cups per serving}} = \frac{8}{\frac{1}{2}} = 8 \times 2 = 16
\]
#### Answer:
\[ \boxed{16} \]
---
Problem 5:
You have 8 slices of bacon and a dozen eggs. You need 3 eggs per person to make an omelet.
#### Part (a): For how many people can you make omelets with a dozen eggs?
- A dozen eggs = 12 eggs
- Eggs needed per person: 3 eggs
- Number of people:
\[
\frac{\text{Total eggs}}{\text{Eggs per person}} = \frac{12}{3} = 4
\]
#### Part (b): How many slices of bacon will each person get?
- Total slices of bacon: 8
- Number of people: 4
- Slices of bacon per person:
\[
\frac{\text{Total bacon slices}}{\text{Number of people}} = \frac{8}{4} = 2
\]
#### Answers:
\[ \boxed{4 \text{ people}, 2 \text{ slices of bacon per person}} \]
---
Problem 6:
A pound of bacon costs $2.59. A dozen eggs costs $1.17.
#### Part (a): If you cook all this for a family of four, how much does it cost to feed each person?
- Cost of bacon: $2.59
- Cost of eggs: $1.17
- Total cost:
\[
2.59 + 1.17 = 3.76
\]
- Cost per person for a family of 4:
\[
\frac{\text{Total cost}}{\text{Number of people}} = \frac{3.76}{4} = 0.94
\]
#### Part (b): It costs $2.95 per person for bacon and eggs at a restaurant. How much can a family of four save by eating at home?
- Cost per person at the restaurant: $2.95
- Cost per person at home: $0.94
- Savings per person:
\[
2.95 - 0.94 = 2.01
\]
- Total savings for a family of 4:
\[
2.01 \times 4 = 8.04
\]
#### Answers:
\[ \boxed{0.94, 8.04} \]
---
Final Answers:
1. \( \boxed{2 \text{ cups of pancake mix}, 1 \text{ cup of water}} \)
2. \( \boxed{70 \text{ calories}, 30 \text{ calories}} \)
3. \( \boxed{2:55 \text{ p.m.}} \)
4. \( \boxed{16} \)
5. \( \boxed{4 \text{ people}, 2 \text{ slices of bacon per person}} \)
6. \( \boxed{0.94, 8.04} \)
Parent Tip: Review the logic above to help your child master the concept of high school consumer math worksheet.