Math Problem Statement
Solution
I see your worksheet on proportions. Let me analyze a few problems from it to verify your work. If you'd like me to check or explain any specific ones, feel free to ask. I will now go through some examples step-by-step:
Example 1:
Problem 1:
- Cross-multiply:
- Divide by 7:
Answer:
Your solution looks correct!
Example 2:
Problem 3:
- Cross-multiply:
- Divide by 3: or approximately 1.33
Answer: or 1.33
It seems your answer is correct here as well.
Example 3:
Problem 7:
- Cross-multiply:
- Divide by 5:
Answer:
Your answer here is correct.
Example 4:
Problem 14:
- Cross-multiply:
- Divide by 9:
Answer:
Your written note states, “the values are the same,” but the correct solution for is actually 75.
Example 5:
Problem 18:
- Cross-multiply:
- Divide by 7:
Answer:
Your answer appears correct.
Would you like me to go over any other problem more specifically or help with any step? Below are some follow-up questions related to this topic.
5 Related Questions:
- How do you determine when two ratios form a proportion?
- What are some strategies to simplify ratios before solving proportions?
- Can all proportions be solved using cross-multiplication? Why or why not?
- How do proportions apply to problems involving percentages?
- What is the difference between a proportion and a ratio?
Tip: Always check whether you can simplify the given ratios before solving the proportion. This can reduce the amount of calculation required.
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Math Problem Analysis
Mathematical Concepts
Proportions
Ratios
Cross Multiplication
Formulas
Cross multiplication for proportions: a/b = c/d implies a * d = b * c
Theorems
Proportion Theorem
Cross Multiplication Property
Suitable Grade Level
Grade 7-9
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