Town Ratio Run

This worksheet serves as a broad review of ratio and proportion word problems by mixing several different real-world situations on one page. Students solve problems involving grocery prices, bus travel, prize tokens, sandwich ingredients, printing rates, dog grooming, parking costs, and bakery packaging. Because the contexts change from problem to problem, students have to decide which quantities are related and choose an appropriate proportional strategy rather than following the same routine automatically.

For a parent, this worksheet is really about asking one important question: “What relationship stays the same?” In one problem it might be dollars per bag of apples. In another it could be miles per hour, tokens per game, slices per sandwich, flyers per minute, or dollars per hour. Once the child identifies that constant relationship, the rest of the problem becomes much easier.

Learning Goals

• Recognize Proportional Situations: Students identify the constant relationship in each story.
• Choose an Appropriate Strategy: Learners may use scale factors, unit rates, ratio tables, or proportions.
• Solve for Different Types of Unknowns: Students find costs, times, amounts, distances, or quantities.
• Label Answers Correctly: Learners connect the numerical answer to the correct unit.
• Build Flexible Problem Solving: Students apply proportional reasoning across many different settings.

Parent-Friendly Teaching Tips

Use this routine for each problem:

1. Ask what two quantities are being compared.
2. Identify the known rate or ratio.
3. Decide whether a scale factor or unit rate is obvious.
4. Solve for the missing amount.
5. Check whether the answer makes sense in the story.

For example:

4 bags of apples cost $14.
How much will 10 bags cost?

First find the cost per bag:

$14 ÷ 4 = $3.50 per bag

Then:

10 × $3.50 = $35

Answer: $35

Another example:

A printer makes 150 flyers in 5 minutes.

150 ÷ 5 = 30 flyers per minute

In 8 minutes:

30 × 8 = 240

Answer: 240 flyers

Why This Worksheet Helps

• Provides a Strong Cumulative Review: Students use several ratio and proportion skills on one page.
• Builds Strategy Flexibility: Learners decide which method works best for each situation.
• Strengthens Reading Comprehension: Students must identify the useful information in each story.
• Connects Math to Everyday Life: Shopping, travel, work rates, food, and services make proportions practical.
• Prepares for Assessment: Mixed word problems require students to recognize the skill without being told exactly what method to use.

The real value of this worksheet is that students must understand the relationship behind the numbers, not just copy a procedure. Unit rates, scale factors, proportions, multiplication, division, and real-world reasoning all come together. For parents, the best coaching question is: “What stays constant in this problem, and how can we use that relationship to find the missing amount?”