Percent Word Problems

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 15% of 60, calculate 60 * 0.15 = 9.

Front

What is the formula to find the total when given a percentage and a part?

Back

The formula is: Total = Part / (Percentage in decimal form). For example, if 9 is 15% of a total, then Total = 9 / 0.15 = 60.

Front

If 68% of students at a school attend an event and 340 students attend, how do you find the total number of students?

Back

Use the formula: Total = Part / (Percentage in decimal form). Here, Total = 340 / 0.68 = 500.

Front

What does it mean to find the percent of a total?

Back

Finding the percent of a total means determining what portion of the total amount is represented by a specific percentage.

Front

How do you convert a fraction to a percentage?

Back

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

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.5 = 1/2.

Front

If a student answers 36 questions correctly out of 40, what percent did they score?

Back

To find the percentage, use the formula: (Correct Answers / Total Questions) * 100. Here, (36 / 40) * 100 = 90%.

Front

How do you find what percent one number is of another?

Back

To find what percent one number is of another, use the formula: (Part / Whole) * 100. For example, to find what percent 82 is of 160, calculate (82 / 160) * 100 = 51.25%.

Front

What is the importance of understanding percent word problems?

Back

Understanding percent word problems is important because they apply mathematical concepts to real-life situations, helping students develop critical thinking and problem-solving skills.