Ratios, Tape Diagrams and 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 determine if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning their cross products are equal.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a fraction that uses rectangles to show the parts of a whole.

Front

If there are 3 puppies and 6 kittens, what is the ratio of puppies to kittens?

Back

The ratio of puppies to kittens is 3:6, which simplifies to 1:2.

Front

What is the ratio of bunnies to puppies if there are 11 bunnies and 3 puppies?

Back

The ratio of bunnies to puppies is 11:3.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, use equivalent ratios to set up a proportion and solve for the unknown.

Front

If Theresa has 5 quarters and Jason has 7 quarters, what is the ratio of Jason's quarters to Theresa's quarters?

Back

The ratio of Jason's quarters to Theresa's quarters is 7 to 5.

Front

What is the total number of boys and girls if there are 120 boys and the ratio of boys to girls is 4:5?

Back

If there are 120 boys, the total number of boys and girls is 270.

Front

In a bag of Jolly Ranchers, if the ratio of blue to red is 3 to 4, how many blue Jolly Ranchers are there if there are 56 total?

Back

There are 24 blue Jolly Ranchers.

Front

What does it mean for ratios to be in simplest form?

Back

Ratios are in simplest form when the numbers cannot be reduced any further, meaning they have no common factors other than 1.