Math Problem Statement
Solution
The problem asks for equivalent ratios based on the ratio of 2 cups of water to 3 cups of flour, and it requires filling out the table for equivalent ratios.
Given the base ratio of 2:3 (water:flour), we can multiply both the numerator and denominator by the same number to generate equivalent ratios. Let's create a few examples and populate the table:
-
Multiply by 2:
Ratio: 4:6 -
Multiply by 3:
Ratio: 6:9 -
Multiply by 4:
Ratio: 8:12
Here’s how the table should look:
Cups of Water | Cups of Flour | Ratio |
---|---|---|
2 | 3 | 2:3 |
4 | 6 | 4:6 |
6 | 9 | 6:9 |
8 | 12 | 8:12 |
Would you like more equivalent ratios or further clarification?
Here are 5 follow-up questions:
- How would the ratio change if you doubled both values again?
- What happens to the proportion if we reduce both water and flour?
- Can you simplify the ratio 4:6 further?
- What other real-life situations use ratios like this?
- How can you express the relationship as a fraction instead of a ratio?
Tip: Always multiply both parts of a ratio by the same factor to keep the relationship equivalent.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Multiplication
Formulas
Equivalent Ratio Formula: (Original Ratio) * (Multiplication Factor) = Equivalent Ratio
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 5-7
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