Ratio word problems

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 can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction, with a colon (e.g., 4:3), or using the word 'to' (e.g., 4 to 3).

Front

What is the ratio of yellow marbles to green marbles if there are 13 green marbles and 7 yellow marbles?

Back

The ratio of yellow marbles to green marbles is 7 to 13.

Front

If a class has 9 boys and 12 girls, what is the ratio of girls to total students?

Back

The ratio of girls to total students is 12 to 21, which simplifies to 4 to 7.

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add the quantities represented in the ratio.

Front

What is the ratio of dogs to goats if there are 9 goats and 8 dogs?

Back

The ratio of dogs to goats is 8 to 9.

Front

If the ratio of red apples to yellow apples is 4:3 and there are 6 yellow apples, how many red apples are there?

Back

There are 8 red apples.

Front

What is the first step in solving a ratio word problem?

Back

The first step is to identify the quantities involved and how they relate to each other.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both sides by their greatest common divisor.

Front

In a ratio of 4:3, what does the number 4 represent?

Back

In a ratio of 4:3, the number 4 represents the quantity of the first item in relation to the second item.