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: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 divisor.

Front

If the ratio of apples to oranges is 2:3 and there are 10 apples, how many oranges are there?

Back

15 oranges.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent quantities and their relationships, often used to solve ratio and proportion problems.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationship between quantities, making it easier to see how to divide or multiply to find unknown values.

Front

If the ratio of boys to girls in a class is 4:5 and there are 20 boys, how many girls are there?

Back

25 girls.

Front

What does it mean if a ratio is equivalent?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities, such as 2:3 and 4:6.

Front

If the ratio of lollipops Hope has to Will's is 3:4 and Will has 28 lollipops, how many does Hope have?

Back

21 lollipops.

Front

What is the first step in solving a ratio problem?

Back

Identify the ratio and the known quantities.

Front

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

Back

45 brownies.