Ratios, Rates, Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

If the ratio of boys to girls is 3 to 2 and there are 12 boys, how many girls are there?

Back

8 girls.

Front

What is the student to teacher ratio if there are 120 students and 20 teachers?

Back

6 students for 1 teacher.

Front

If hamburger meat sells for $6 for every 3 pounds, how much will 10 pounds cost?

Back

$20.

Front

If the ratio of apples to oranges is 4 to 5 and there are 20 apples, how many oranges are there?

Back

25 oranges.

Front

How many pizzas are needed for 36 people if one pizza feeds 3 people?

Back

12 pizzas.

Front

What does it mean if two ratios are in proportion?

Back

It means that the two ratios represent the same relationship between quantities.