ratios 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 determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is the cost per pound of a product?

Back

The cost per pound is calculated by dividing the total cost of the product by its weight in pounds.

Front

If the ratio of birds to snakes is 4 to 6, what is the simplified ratio?

Back

The simplified ratio is 2 to 3.

Front

What is the formula to solve for a missing value in a proportion?

Back

If a/b = c/d, then ad = bc, where a, b, c, and d are the values in the proportion.

Front

What does it mean if two ratios are not a proportion?

Back

It means that the cross products of the ratios are not equal.

Front

Calculate the cost per pound for a 20-lb bag costing $23.44.

Back

Cost per pound = $23.44 / 20 = $1.172, rounded to $1.17.

Front

If 4 birds are to 6 snakes, what is the ratio of snakes to birds?

Back

The ratio of snakes to birds is 6 to 4, or simplified, 3 to 2.

Front

What is the value of k if 4/5 = k/10?

Back

k = 8.