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'.

Front

How do you write a ratio of 5 to 7?

Back

The ratio of 5 to 7 can be written as 5:7.

Front

What does it mean if a ratio is equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

If there are 30 kids who like grape juice and 40 kids who like pineapple juice, what is the ratio of kids who like pineapple juice to those who like grape juice?

Back

The ratio is 40:30, which simplifies to 4:3.

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 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 the ratio of boys to girls in a class is 2:3 and there are 12 boys, how many girls are there?

Back

There are 18 girls, since 12 boys corresponds to 18 girls in the ratio 2:3.

Front

What is the total number of items if the ratio of blue to red candies is 3:4 and there are 21 blue candies?

Back

The total number of candies is 49, since 21 blue candies corresponds to 28 red candies in the ratio 3:4.

Front

How do you solve a problem using a tape diagram?

Back

To solve a problem using a tape diagram, draw rectangles to represent the quantities, label them, and use the visual to find the unknowns.

Front

What is the equivalent ratio of 6:7 if both numbers are multiplied by 6?

Back

The equivalent ratio is 36:42.