12/12 PM: Ratios and 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:b'.

Front

How do you write a ratio of 5 to 13?

Back

The ratio of 5 to 13 can be written as 5:13.

Front

If there are 13 male teachers and 5 female teachers, what is the ratio of female teachers to male teachers?

Back

5:13.

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 and then divide to find the unknown value.

Front

If there are 5 ice cream cones for every 3 brownies, how do you find the number of cones sold if 24 brownies were sold?

Back

Set up the proportion: 5/3 = x/24, then solve for x to find that 40 cones were sold.

Front

What is the formula to find the total number of items in a ratio?

Back

Total = sum of the parts in the ratio multiplied by the common factor.

Front

If the ratio of dogs to cats is 5 to 3 and there are 25 dogs, how many cats are there?

Back

Set up the proportion: 5/3 = 25/c, solving gives c = 15.

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities.

Front

How can you express a ratio as a fraction?

Back

A ratio a:b can be expressed as the fraction a/(a+b) for part-to-whole or a/b for part-to-part.