Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What is the formula for finding the price per item?

Back

Price per item = Total Price / Number of Items.

Front

If the ratio of A to B is 3:4 and A = 12, what is B?

Back

B = (4/3) * A = (4/3) * 12 = 16.

Front

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

Back

It means that the two ratios do not represent the same relationship or value.

Front

How do you find the number of items per group?

Back

Number of items per group = Total Items / Number of Groups.

Front

If 88 students are divided into 4 classes, how many students are in each class?

Back

22 students per class.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.

Front

How can you check if two ratios form a proportion?

Back

Cross-multiply the ratios and see if the products are equal.