Representing Ratios with Tables

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Representing a mixture of seeds in a table.

A recipe for trail mix says: “Mix 7 ounces of almonds with 5 ounces of raisins.” Here is a table to show how many ounces of almonds and raisins would be in different-sized batches of this trail mix.

(1). Complete the table so that ratios represented by each row are equivalent. What methods did you use to fill in the table?

(2). How do you know that each row of the table shows a ratio that is equivalent to 7 : 5 ? Explain your reasoning.

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Representing a chocolate chip mixture in a table.

You have created a best-selling recipe for chocolate chip cookies. The ratio of sugar to flour is 2 : 5. Below is a table that you should fill in. Each entry should represent amounts of sugar and flour that might be used at the same time in your recipe.

  • One entry should have amounts where you have fewer than 25 cups of flour.
  • One entry should have amounts where you have between 20–30 cups of sugar.
  • One entry can have any amounts using more than 500 units of flour.

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Representing Ratios with Tables.

The tables below show a proportional relationship between two quatities that change. Study the tables and find the missing values.

A train leaves the town of Waterford and travels at a constant speed. The train travels 20 miles in 10 minutes.

Complete the table.

Graph the data from the table.

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The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year? If you get stuck, consider using the table below.

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The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year? If you get stuck, consider using the table below.

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At a school recess, there needs to be a ratio of 2 adults for every 24 children on the playground. The double number line represents the number of adults and children on the playground at recess. Label each remaining tick mark with its value.