Percent of numbers||word problems

Standard: 6.RP.A.3c

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

Learning Outcomes

Understand how to calculate a percentage of a number in real-life scenarios.
Solve practical word problems involving discounts, tips, and taxes.
Find the total amount when given a part and its percentage.
Develop problem-solving skills through reverse percent calculations.
Apply percentage concepts to compare deals and make better decisions.

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Unlocking the Power of Percent Word Problems

Percentages are a part of everyday life, whether you’re shopping, calculating tips, or understanding sports stats. By solving percent word problems, you’ll gain valuable skills that make math both practical and exciting.

Let’s dive into a couple of solved examples to see how percent word problems work!

Example 1: Shopping Discount

A jacket is priced at $120 with a 25% discount. How much will you pay?

Solution: Calculate 25% of $120.

25%=25/100

25%×120=(25/100)×120=30

Subtract the discount from the original price.

120−30=90

Answer: You’ll pay $90 after the discount.

Example 2: Reverse Percent Problem

25% of a number is 50. What is the number?

Solution:

Represent the problem as:

25%×number=50

(25/100)×number=50

Solve for the number.

Number=50×(100/25)=200

Answer: The number is 200.

Percent word problems turn math into a practical tool for life. From figuring out how much you’re saving in a sale to calculating tips at a restaurant, these problems show just how powerful percentages can be!

Explore our Extraordinary Worksheets, Dive in and start solving today!