Tape Diagram Ratios

Front

What is a tape diagram?

Back

A tape diagram is a visual representation used to show the relationship between quantities, often used to solve ratio and proportion problems.

Front

How do you represent a ratio using a tape diagram?

Back

A ratio can be represented by dividing a tape into parts that correspond to the quantities in the ratio. For example, a ratio of 2:3 would be represented by dividing the tape into 5 equal parts, with 2 parts for the first quantity and 3 parts for the second.

Front

If the ratio of boys to girls is 3:2 and there are 30 boys, how many girls are there?

Back

20 girls.

Front

What does it mean if a ratio is expressed as 1:4?

Back

It means for every 1 part of the first quantity, there are 4 parts of the second quantity.

Front

In a tape diagram, how do you find the total number of items represented?

Back

Add the parts of the tape that represent each quantity together.

Front

If there are 15 blue Jolly Ranchers and the ratio of blue to red is 3:4, how many red Jolly Ranchers are there?

Back

20 red Jolly Ranchers.

Front

What is the first step in solving a ratio problem using a tape diagram?

Back

Identify the ratio and the total quantity involved.

Front

If the ratio of sweaters to vests is 6:5 and there are 25 vests, how many sweaters are there?

Back

30 sweaters.

Front

How can you use a tape diagram to solve for an unknown quantity in a ratio?

Back

Set up the tape diagram according to the known quantities and use the total to find the unknown.

Front

What is the total number of items if the ratio of girls to boys is 3:8 and there are 48 boys?

Back

The total is 66 items.