Comparing Ratios Using Tables | 6th Grade Ratio Worksheets - Free Printable

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However, based on the structure and typical format of such worksheets, here’s how we can approach solving it:

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Worksheet: Comparing Ratios Using Tables

This worksheet likely involves comparing ratios using tables to determine which option offers better value (e.g., cost per unit, miles per gallon, etc.).

Let me walk through the common types of problems found in such worksheets and solve them step-by-step.

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Problem 1: Comparing Prices

> "Which store has the better price per pound?"

| Store | Price | Weight |
|-------|-------|--------|
| A | $6.00 | 3 lbs |
| B | $9.00 | 5 lbs |

#### Step 1: Find the unit rate (price per pound)

- Store A:
$ \frac{6.00}{3} = 2.00 $ per pound

- Store B:
$ \frac{9.00}{5} = 1.80 $ per pound

#### Step 2: Compare
- Store B has a lower price per pound ($1.80 < $2.00)

✔ Answer: Store B has the better price per pound.

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Problem 2: Comparing Miles per Gallon (MPG)

> "Which car gets better gas mileage?"

| Car | Miles Driven | Gallons Used |
|-------|--------------|--------------|
| Car X | 240 | 8 |
| Car Y | 300 | 10 |

#### Step 1: Calculate MPG

- Car X:
$ \frac{240}{8} = 30 $ mpg

- Car Y:
$ \frac{300}{10} = 30 $ mpg

#### Step 2: Compare
Both cars get the same gas mileage.

✔ Answer: Both cars have equal fuel efficiency (30 mpg).

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Problem 3: Comparing Rates (e.g., typing speed)

> "Who types faster?"

| Person | Words Typed | Time (min) |
|--------|-------------|------------|
| Alex | 150 | 5 |
| Jamie | 200 | 7 |

#### Step 1: Find words per minute

- Alex:
$ \frac{150}{5} = 30 $ wpm

- Jamie:
$ \frac{200}{7} \approx 28.57 $ wpm

#### Step 2: Compare
Alex types faster.

✔ Answer: Alex types faster.

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General Strategy for Solving Ratio Comparison Problems Using Tables:

1. Identify the quantities involved (e.g., cost, weight, distance, time).
2. Set up a table with the given data.
3. Calculate the unit rate (e.g., cost per item, miles per gallon, words per minute).
4. Compare the unit rates to determine which is better.
5. Write a clear conclusion.

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If your worksheet includes specific questions (like those about "Cara" and "Zoe" in the image), please provide the exact numbers or describe the problem so I can give a precise solution.

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