Solving Ratio Problems with Tape Diagrams

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: using a colon (e.g., 2:5), as a fraction (e.g., 2/5), or in words (e.g., '2 to 5').

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a fraction, often used to help solve problems involving proportions.

Front

How do you solve a ratio problem using a tape diagram?

Back

To solve a ratio problem using a tape diagram, draw a rectangle divided into parts that represent the ratio, label the parts, and use the total or known quantities to find the unknowns.

Front

If the ratio of cereal to dried fruit is 2:5 and there are 36 ounces of cereal, how do you find the amount of dried fruit?

Back

Set up a proportion based on the ratio: 2/5 = 36/x. Cross-multiply and solve for x to find the amount of dried fruit.

Front

What is the total number of students if there are 120 boys and the ratio of boys to girls is 4:5?

Back

If the ratio of boys to girls is 4:5, then for every 4 boys, there are 5 girls. If there are 120 boys, then there are 150 girls, making the total 270.

Front

How do you find the number of brownies if the ratio of brownies to cookies is 3:5 and there are 75 cookies?

Back

Set up a proportion: 3/5 = x/75. Cross-multiply to find x, which represents the number of brownies.

Front

In a ratio of blue to red Jolly Ranchers of 3:4, how do you find the number of red Jolly Ranchers if there are 15 blue?

Back

Set up a proportion: 3/4 = 15/x. Cross-multiply to find x, which represents the number of red Jolly Ranchers.

Front

What is the importance of understanding ratios in real-life applications?

Back

Understanding ratios helps in making comparisons, scaling recipes, budgeting, and analyzing data in various real-life situations.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.