Ratios, Rates and Proportions

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., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply the terms and see if the products are equal.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (cost per item).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If a recipe calls for 2 cups of sugar for every 5 cups of flour, what is the ratio of sugar to flour?

Back

The ratio of sugar to flour is 2:5.

Front

In a class of 30 students, if 12 are boys, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 12:18, which simplifies to 2:3.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, use cross-multiplication and solve for the unknown.

Front

What is the ratio of red marbles to total marbles if there are 3 red, 2 blue, and 5 yellow marbles?

Back

The ratio of red marbles to total marbles is 3:10.