Ratios - Tape Diagrams - Practice

Front

What is a ratio?

Back

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

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 3/4), with a colon (e.g., 3:4), or in words (e.g., '3 to 4').

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of ratios and relationships between quantities, often used to solve problems involving proportions.

Front

How do you find the total number of items in a ratio when given one part?

Back

To find the total number of items, first determine the total number of parts in the ratio, then use the known quantity to find the value of one part and multiply by the total number of parts.

Front

If the ratio of blue to red Jolly Ranchers is 3:4 and there are 15 blue Jolly Ranchers, how do you find the total number of Jolly Ranchers?

Back

First, find the total parts in the ratio (3 + 4 = 7). Then, find the value of one part (15 blue Jolly Ranchers / 3 parts = 5). Finally, multiply the total parts by the value of one part (7 parts * 5 = 35 total Jolly Ranchers).

Front

What is the process to solve a ratio problem using a tape diagram?

Back

1. Draw a tape diagram representing the ratio. 2. Label each part according to the ratio. 3. Use known quantities to find the value of one part. 4. Calculate the total or unknown quantities based on the value of one part.

Front

In a ratio of sweaters to vests of 6:5, if there are 30 vests, how do you find the number of sweaters?

Back

First, find the total parts in the ratio (6 + 5 = 11). Then, find the value of one part (30 vests / 5 parts = 6). Finally, multiply the number of sweater parts by the value of one part (6 parts * 6 = 36 sweaters).

Front

How do you determine the number of girls if the ratio of girls to boys is 3:8 and there are 48 boys?

Back

First, find the total parts in the ratio (3 + 8 = 11). Then, find the value of one part (48 boys / 8 parts = 6). Finally, multiply the number of girl parts by the value of one part (3 parts * 6 = 18 girls).

Front

What is the significance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, understanding proportions, and solving problems in various contexts such as cooking, budgeting, and resource allocation.

Front

How do you express the ratio of Jason's quarters to Theresa's quarters if Jason has 7 and Theresa has 5?

Back

The ratio of Jason's quarters to Theresa's quarters is expressed as 7:5.