How to Solve Percentage Word Problems

Word Percentage Problems

Hi, and welcome to this video lesson on percentages in word problems.

I know word problems are most people’s worst nightmare, but never fear, we’re going to learn how to turn a big, scary, word percentage problem into a 3-step breeze!

Okay, let’s look at our problem: “The bill for dinner is $62.00. The diners decide to leave their server a 20% tip. Determine the total cost of dining at the restaurant, including tip.”

Okay, so what is our goal? We always want to understand the goal in a word problem. Our goal here is: “Determine the total cost of dining at the restaurant, including tip.” That means finding the cost of the meal and finding the cost of the tip so we can add them together. We already know the bill for dinner, so we’re halfway home. Let’s solve the rest of this problem in three easy steps.

STEP 1: Change the percentage to a decimal. Remove the % sign from the 20% and drop a period in front of the 20 so we have .20 (we are allowed to do this because when we are finding percents, we are really multiplying a decimal number against another number because 20 percent of a number can be written as a ratio of a part per hundred: 20% =20100 = .20)

STEP 2: Multiply the bill by 0.20 to find the amount of the tip:
$62.00(0.20)=$12.40

STEP 3: Add the tip and bill to find the total. The total cost of dining will be the sum of the bill for dinner and the tip.

$62.00+$12.40=$74.40

The total cost is $74.40.

I hope that helps. Thanks for watching this video lesson, and, until next time, happy studying.

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by Mometrix Test Preparation | Last Updated: February 19, 2019