Ratios and Rates

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How can ratios be expressed?

Back

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

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 per item.

Front

If the ratio of girls to boys in a school is 7 to 5, how can you find the number of boys if there are 210 girls?

Back

Use the ratio to set up a proportion: 7/5 = 210/x, where x is the number of boys. Solve for x to find there are 150 boys.

Front

What is the formula to find the total number of parts in a ratio?

Back

Add the parts of the ratio together. For example, in a ratio of 7 to 5, the total number of parts is 7 + 5 = 12.

Front

How do you solve for a missing number in a ratio table?

Back

Set up a proportion based on the known ratios and cross-multiply to find the missing value.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be converted to fractions by placing one part of the ratio over the other, allowing for easier calculations.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide one part of the ratio by the total parts and multiply by 100.

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you determine the number of teachers if the ratio of boys to teachers is 15 to 1 and there are 150 boys?

Back

Set up the proportion: 15/1 = 150/x, where x is the number of teachers. Solve for x to find there are 10 teachers.