Proportion Word Problems

Front

What is a proportion?

Back

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

Front

How do you set up a proportion to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

In the context of word problems, what does 'rate' refer to?

Back

Rate refers to a ratio that compares two different quantities, often expressed as a fraction.

Front

How can you determine the total number of items based on a sample?

Back

Use the ratio from the sample to set up a proportion with the total population.

Front

If 18 out of 30 students earn an A or B, how do you find the total number earning A or B in a larger group?

Back

Set up a proportion: 18/30 = x/80, where x is the number of students earning A or B.

Front

What is the relationship between the width and height of a scaled painting?

Back

The relationship is a constant ratio that remains the same when the painting is enlarged or reduced.

Front

How do you calculate the total number of points scored based on a rate?

Back

Multiply the rate of points scored per game by the total number of games played.

Front

What does it mean if a rate holds true for a larger group?

Back

It means that the same ratio observed in the sample applies to the entire population.

Front

How do you find the number of students who enjoy a certain activity based on a sample?

Back

Use the ratio of students enjoying the activity in the sample to find the equivalent number in the total group.