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 find the total number of items in a group using a tape diagram?

Back

To find the total, add the quantities represented in the tape diagram for each category.

Front

What does a ratio represent?

Back

A ratio represents a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between numbers, even if the numbers themselves are different.

Front

If the ratio of boys to girls is 3:5 and there are 30 boys, how many girls are there?

Back

50 girls.

Front

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

Back

You can use a tape diagram to visually represent the known quantities and the ratio, then use that to find the unknown quantity by scaling.

Front

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

Back

Identify the ratio and the known quantity, then draw the tape diagram to represent the relationship.

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 candies, if the ratio of blue to red is 3:4 and there are 15 blue candies, how many total candies are there?

Back

35 total candies.

Front

What is the formula to find the total number of items in a ratio?

Back

Total = (Sum of the parts) x (Value of one part).