Pre-Algebra - Percent Word Problems

Front

What is a percent?

Back

A percent is a way to express a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

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 20% of 50, calculate 50 x 0.20 = 10.

Front

What is the formula to find the percentage of a part compared to a whole?

Back

The formula is: (Part/Whole) x 100 = Percentage. For example, if 30 out of 150 students passed, the percentage is (30/150) x 100 = 20%.

Front

If 60% of a class of 30 students passed a test, how many students passed?

Back

18 students. (30 x 0.60 = 18)

Front

What does it mean if a survey shows that 70% of people prefer a certain option?

Back

It means that out of every 100 people surveyed, 70 people chose that option.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 0.25.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying the fraction by 100. For example, 1/4 = 0.25 = 25%.

Front

If a store is having a 20% off sale, how do you find the sale price of a $50 item?

Back

Calculate 20% of $50 (0.20 x 50 = $10) and subtract it from the original price: $50 - $10 = $40.

Front

What is the percent increase if a price goes from $40 to $50?

Back

The percent increase is 25%. Calculate the increase ($50 - $40 = $10), then (10/40) x 100 = 25%.

Front

If 40% of a number is 24, what is the number?

Back

The number is 60. To find it, divide 24 by 0.40: 24 / 0.40 = 60.