Ratios and Proportions in Word Problems

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 simplify a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the total number of items in a ratio problem?

Back

Add the parts of the ratio together to find the total number of items.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

If the ratio of A to B is 3 : 4, how many times as many B's are there compared to A's?

Back

There are 4/3 times as many B's as A's.

Front

What is the first step in solving a word problem involving ratios?

Back

Identify the quantities being compared and write the ratio.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

If Buddy has 25 wreaths and 16 candy canes, what is the ratio of wreaths to candy canes?

Back

The ratio of wreaths to candy canes is 25 : 16.

Front

What is the relationship between ratios and proportions?

Back

Ratios are used to compare quantities, while proportions show that two ratios are equivalent.