Ratio Tables and Proportions

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' or a:b.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the terms and then solve for the unknown variable.

Front

If 5 ice cream cones are sold for every 3 brownies, how many cones are sold if 24 brownies are sold?

Back

40 ice cream cones.

Front

Pat needs 14 sticks of pepperoni for 28 pizzas. How many sticks are needed for 36 pizzas?

Back

18 sticks.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form a ratio, helping to visualize the relationship between the quantities.

Front

How can you use a ratio table to find equivalent ratios?

Back

You can create a ratio table by multiplying or dividing both parts of the ratio by the same number to find equivalent ratios.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

Back

15 oz of yellow paint.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.