Solving 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 a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If 3 pounds of meat cost $6, what is the cost per pound?

Back

The cost per pound is $2, calculated by dividing $6 by 3.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equivalent.

Front

How do you set up a proportion from a word problem?

Back

Identify the two ratios in the problem and set them equal to each other.

Front

If 8 sweets cost 72 cents, how much does 1 sweet cost?

Back

1 sweet costs 9 cents, calculated by dividing 72 cents by 8.

Front

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

Back

Read the problem carefully to identify the quantities and their relationships.

Front

If the ratio of boys to girls is 2 to 5 and there are 6 boys, how many girls are there?

Back

There are 15 girls, calculated using the ratio (6 boys * 5 girls/2 boys).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per 1 unit.