Multiple Variables: Real-world Applications in Cooking
Mathematics
Grade 6
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet exploring multiple variable problems through cooking and recipes, focusing on substitution with positive values for Grade 6 students.
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Multiple Variables: Real-world Applications in Cooking
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
If 3x + 2y = 18, and x = 4, find the value of y.
[2 marks]2.
Given the system: 5a + b = 20 and a = 3, find the value of b.
[2 marks]3.
Solve for x and y: x + y = 10, and x = 2y.
[3 marks]4.
If 2x + 3y = 21 and y = 4, find x.
[2 marks]B
Problem Solving & Reasoning
Work through the multi-step problems carefully and explain your reasoning.
1.
A recipe uses 2 eggs for every 3 cups of flour. If you have 12 eggs, how many cups of flour should you use? Show your calculation.
[3 marks]2.
You are making a fruit punch. The mixture needs 3 parts juice to 5 parts water. If you want a total of 40 cups, how much juice and water do you need? Use variables and substitution to find the amounts.
[4 marks]3.
A baker uses sugar and flour in the ratio 3:5. If she uses 45 grams of sugar, how much flour does she need? Show your working.
[2 marks]C
Real-world Applications
Solve these word problems based on cooking scenarios, showing all steps.
1.
A pancake recipe calls for 2 cups of milk and 3 cups of flour. If you have 9 cups of flour, how much milk should you use? Use substitution to determine the answer.
[3 marks]2.
A chef mixes spices such that the ratio of salt to pepper is 4:1. If the total spice mixture weighs 25 grams, find the weight of salt and pepper. Set up and solve equations.
[4 marks]D
Challenge & Extension
Attempt these more difficult problems to test your understanding of multiple variables.
1.
You have a mixture of sugar and salt weighing 50 grams. If sugar costs $4 per gram and salt costs $1 per gram, and the total cost is $130, find the amount of each in the mixture. Use variables and substitution.
[4 marks]2.
A smoothie contains 3 types of fruit: strawberries, bananas, and blueberries. The ratio of strawberries to bananas to blueberries is 2:3:4. If the total weight of the fruits is 36 grams, how much of each fruit is in the smoothie? Show your work.
[4 marks]E
Mixed Review
Solve these questions covering various aspects of multiple variables.
1.
Solve for x and y: 4x + y = 20, and 2x + 3y = 18.
[3 marks]2.
In a salad, the ratio of cucumbers to tomatoes is 5:2. If the total weight of cucumbers and tomatoes is 21 grams, find the weight of each.
[3 marks]F
Error Analysis
Identify the mistake in the following solution and correct it.
1.
A student solves the system: x + y = 10 and x = 2y, and finds y = 5 and x = 10. Is this correct? If not, correct the mistake and find the correct values.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet