7H Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

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

Back

To solve for a missing value in a ratio table, set up a proportion using the known values and cross-multiply to find the unknown.

Front

If the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

Back

15 oz of yellow paint is needed.

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

What is the formula for finding equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.

Front

If A=45 in a ratio table, what does this imply about the relationship of A to other values?

Back

It implies that A is part of a proportional relationship with other values in the table.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize and compare ratios, showing equivalent ratios in a structured format.

Front

If the ratio of boys to girls in a class is 2:3, how many girls are there if there are 10 boys?

Back

There are 15 girls.