Ratios

Front

What is a ratio?

Back

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

Front

If the ratio of boys to girls is 5:7, how do you find the number of boys if you know the number of girls?

Back

To find the number of boys, use the ratio to set up a proportion. If there are 35 girls, then (5/7) = (boys/35). Solve for boys.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of seals to turtles if there are 15 seals and 10 turtles?

Back

The ratio of seals to turtles is 15:10, which simplifies to 3:2.

Front

If you have a ratio of 4:5, what is the equivalent ratio if both terms are multiplied by 2?

Back

The equivalent ratio is 8:10.

Front

How do you express a ratio in different forms?

Back

A ratio can be expressed in three forms: as a fraction (4/5), with a colon (4:5), or with the word 'to' (4 to 5).

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of the whole to the entire whole, such as the ratio of boys to the total number of students.

Front

If Billy bought 14 suckers and the ratio of suckers to free suckers is 2:1, how many free suckers does he get?

Back

Billy gets 7 free suckers.