Solving Percent Word Problems

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents how much of something exists in relation to a whole.

Front

How do you calculate the percent of a number?

Back

To calculate the percent of a number, multiply the number by the percent (as a decimal). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What is the formula for finding the total amount when given a part and the percent?

Back

The formula is: Total = Part / (Percent as a decimal). For example, if 30 is 60% of a total, Total = 30 / 0.60 = 50.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

What is the relationship between proportions and percent problems?

Back

Proportions can be used to solve percent problems by setting up a ratio that compares the part to the whole.

Front

If 20 out of 50 students passed a test, what percent passed?

Back

To find the percent, divide 20 by 50 and multiply by 100: (20 ÷ 50) * 100 = 40%.

Front

How do you find the part when given the total and the percent?

Back

To find the part, multiply the total by the percent (as a decimal). For example, to find 25% of 200, calculate 200 * 0.25 = 50.

Front

What is a word problem?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring interpretation to solve.

Front

How can you identify key information in a word problem?

Back

Look for numbers, keywords (like 'percent', 'total', 'how many'), and the question being asked to identify key information.

Front

What is the first step in solving a percent word problem?

Back

The first step is to read the problem carefully and identify what is being asked, along with the relevant numbers.