Solving Percent Word Problems 1

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

Front

How do you calculate the percentage of a quantity?

Back

To calculate the percentage of a quantity, multiply the quantity by the percentage (in decimal form) and then divide by 100.

Front

If a student scores 80% on a test with 20 questions, how do you find the number of correct answers?

Back

Multiply the total number of questions (20) by the percentage (80%) to find the number of correct answers: 20 * 0.80 = 16.

Front

What is the formula to find the total number of items when given a part and its percentage?

Back

Total = Part / (Percentage in decimal form). For example, if 30% of grapes are red and there are 60 grapes, Total = 18 / 0.30 = 60.

Front

How do you find the amount taken out for taxes if you know the salary and tax percentage?

Back

Multiply the salary by the tax percentage (in decimal form). For example, $12,800 * 0.15 = $1,920.

Front

What is the formula to calculate the percentage of a part in relation to the whole?

Back

Percentage = (Part / Whole) * 100. For example, if there are 42 yellow marbles out of 60, Percentage = (42 / 60) * 100 = 70%.

Front

How do you round a number to the nearest whole number?

Back

Look at the digit to the right of the rounding place. If it's 5 or more, round up; if it's less than 5, round down.

Front

If a student answered 86 problems correctly and received a grade of 98%, how do you find the total number of problems?

Back

Use the formula: Total = Correct Answers / (Percentage in decimal form). Total = 86 / 0.98 ≈ 88.

Front

What does it mean if 30% of a group is a certain type?

Back

It means that out of every 100 members of the group, 30 are of that type.

Front

How can you express a percentage as a fraction?

Back

To express a percentage as a fraction, place the percentage over 100 and simplify if possible. For example, 25% = 25/100 = 1/4.