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 '%'. 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 a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships. It helps in solving problems involving parts and wholes.

Front

If 60% of 120 students want to go bowling, how many students is that?

Back

72 students. (60% of 120 = 0.60 x 120 = 72)

Front

How do you find the percent of a total distance driven?

Back

To find the percent of a total distance driven, divide the distance driven by the total distance and multiply by 100. For example, (280 miles / 400 miles) x 100 = 70%.

Front

What is the equation to find the total amount when given a percentage?

Back

If you know the percentage and the part, use the equation: Total = Part / (Percentage in decimal form). For example, if 520 cans is 65%, Total = 520 / 0.65 = 800 cans.

Front

How do you set up a proportion to find the total number of problems?

Back

To set up a proportion, use the relationship: Part / Total = Percentage / 100. For example, if 9 problems is 75%, then 9 / Total = 75 / 100.

Front

If 30% of surveyed people liked caramel popcorn, how do you find those who liked butter popcorn?

Back

If 30% liked caramel, then 70% liked butter. To find the number, calculate 70% of 60 people: 0.70 x 60 = 42 people.

Front

What does it mean to have a goal amount in a collection?

Back

A goal amount is the target number of items you aim to collect. For example, if the goal is to collect 800 cans, that is the total you want to reach.

Front

How do you convert a fraction to a percent?

Back

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