Proportion Word Problems

Front

What is a proportion?

Back

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

Front

How do you set up a proportion to solve a word problem?

Back

To set up a proportion, identify the two ratios involved in the problem and set them equal to each other.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, how would you find the amount of sugar needed for 6 cups of flour?

Back

Set up the proportion: 2/3 = x/6. Cross-multiply to find x = 4 cups of sugar.

Front

What is the scale factor in a scale model?

Back

The scale factor is the ratio of the model's dimensions to the actual object's dimensions.

Front

How do you find the length of a model if you know the actual length and the scale factor?

Back

Use the formula: Model Length = Actual Length × (Model Scale / Actual Scale).

Front

What is the relationship between the dimensions of similar figures?

Back

The dimensions of similar figures are proportional to each other.

Front

How do you compare prices to find the better buy?

Back

Calculate the unit price for each option and compare them. The lower unit price is the better buy.

Front

If a model car is 1/12 the size of the actual car, and the actual car is 12 feet long, how long is the model car?

Back

Model Length = Actual Length × (1/12) = 12 ft × (1/12) = 1 ft.

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 of one.

Front

How do you find the unit price of an item?

Back

Divide the total price by the number of items to find the price per item.