Compare Two Ratios by Using Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or with the word 'to' (e.g., 2 to 3).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

If the ratio of regular coffee to decaf coffee is 2:3, how much regular coffee corresponds to 12 decaf?

Back

8 regular coffee (using the ratio 2:3, if 3 parts = 12, then 2 parts = 8).

Front

In a ratio of red paint to yellow paint of 2:5, how much red paint is needed for 35 oz of yellow paint?

Back

21 oz of red paint (using the ratio 2:5, if 5 parts = 35, then 2 parts = 21).

Front

What is the value of A if the ratio table shows 45 for the second quantity?

Back

A = 45.

Front

How do you determine if two ratios are equivalent using a table?

Back

You can compare the cross products of the ratios. If the cross products are equal, the ratios are equivalent.

Front

If Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins, are these prices equivalent?

Back

Yes, they are equivalent (both pay $0.50 per muffin).

Front

What is the calorie burn rate if Hilbert burns 120 calories in 30 minutes?

Back

Hilbert burns 4 calories per minute.

Front

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 60 minutes?

Back

240 calories (double the time, double the calories).