Proportions: Word Problems

Front

What is a proportion?

Back

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

Front

How do you solve for an unknown in a proportion?

Back

To solve for an unknown in a proportion, cross-multiply the ratios and then isolate the variable.

Front

What is the formula for finding the total number of items based on a ratio?

Back

Total items = (Part / Ratio part) * Total ratio.

Front

If 3 out of 5 teachers wore college shirts and 21 teachers wore them, how do you find the total number of teachers?

Back

Set up the proportion: 3/5 = 21/x, then cross-multiply and solve for x.

Front

How many eggs are needed to make 144 muffins if 3 eggs are needed for 24 muffins?

Back

Set up the proportion: 3/24 = x/144, then cross-multiply and solve for x.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and seeing if the products are equal.

Front

What is the first step in solving a word problem involving proportions?

Back

Identify the quantities involved and set up a proportion based on the relationships described.

Front

What is a common mistake when solving proportions?

Back

A common mistake is misinterpreting the relationship between the quantities or incorrectly setting up the proportion.