ratio and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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 terms and then solve for the unknown variable.

Front

What is the formula for finding the cost of one item?

Back

Cost of one item = Total cost / Number of items.

Front

If 20 adult tickets cost $250, how much does one adult ticket cost?

Back

One adult ticket costs $12.50.

Front

What does it mean if two ratios form a proportion?

Back

It means that the two ratios are equivalent, or that they represent the same relationship between quantities.

Front

How can you check if two ratios form a proportion?

Back

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

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object where the dimensions are proportional to the actual dimensions.

Front

If a scale drawing has a scale of 1 in. = 4 ft, how tall is a drawing that measures 12 inches?

Back

The actual height is 48 feet.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.