Ratios and Tape Diagrams

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 write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both terms of the ratio by their greatest common factor (GCF).

Front

If the ratio of brownies to cookies is 3:5 and there are 75 cookies, how many brownies are there?

Back

45 brownies.

Front

What does a tape diagram represent in ratios?

Back

A tape diagram visually represents the parts of a ratio, showing how quantities relate to each other.

Front

What is the ratio of cookies to brownies if the ratio of brownies to cookies is 3:5?

Back

5 to 3 or 5:3.

Front

If the ratio of sweaters to vests is 6:5 and there are 30 vests, how many sweaters are there?

Back

36 sweaters.

Front

In a bag of Jolly Ranchers, if the ratio of blue to red is 3 to 4 and there are 15 blue Jolly Ranchers, how many red Jolly Ranchers are there?

Back

20 red Jolly Ranchers.

Front

What is the ratio of the greatest number of t-shirts to the least number of t-shirts if there are 7 of one kind and 1 of another?

Back

7 to 1 or 7:1.

Front

How can you find an unknown quantity in a ratio problem?

Back

You can set up a proportion based on the known quantities and solve for the unknown.

Front

What is a proportion?

Back

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