Understanding Ratio word problems

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

How do you write a ratio in simplest form?

Back

To write a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much flour is needed if you use 4 ounces of sugar?

Back

6 ounces of flour (since 2/3 = 4/x, x = 6).

Front

What does it mean if the ratio of boys to girls in a class is 3:2?

Back

It means for every 3 boys, there are 2 girls in the class.

Front

How do you find the total amount when given a ratio and one part?

Back

To find the total amount, add the parts of the ratio together and then use the known part to find the total.

Front

If the ratio of cats to dogs is 5:3 and there are 15 cats, how many dogs are there?

Back

9 dogs (since 5/3 = 15/x, x = 9).

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part to the entire group, such as the ratio of boys to the total number of students.

Front

If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

Back

The ratio of distance to time is 60 miles to 1 hour, or 60:1.

Front

How do you solve a word problem involving ratios?

Back

Identify the quantities involved, express them as a ratio, set up an equation based on the ratio, and solve for the unknown.