How to Solve Word Problems Involving the Percentage of a Number?
In this complete step-by-step guide, you will learn how to solve different types of word problems involving the Percentage of a Number.
[include_netrun_products_block from-products="product/6-virginia-sol-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
Percentages are a common concept in mathematics, and they often appear in word problems. Solving word problems involving percentages can be challenging, but it’s a valuable skill to have.
A step-by-step guide to word problems involving the percentage of a number
Since percentages have no dimensions, it is known as dimensionless numbers.
The percentage problems may have \(3\) quantities: the percent, the base, and the amount.
The percent comes with the percent symbol \((\%)\) or the word “percent.”
The base is the total amount.
The amount is part of the whole.
Here is a step-by-step guide on how to solve word problems involving percentages:
- Read the problem carefully and identify the information given. This may include the percentage, the whole, and the part. Make sure you understand what is being asked in the problem.
- Identify the keywords or phrases that indicate a percentage is involved. Words such as “percent,” “percentage,” “out of \(100\),” or “per \(100\)” are clues that a percentage is involved.
- Write an equation to represent the information given in the problem.
- Use math operations to solve for the unknown value.
- Check your answer by plugging it back into the original equation and seeing if it is true.
Word Problems Involving the Percentage of a Number – Example 1
The cinema has \(230\) seats. \(161\) seats were sold for the animated movie. What percent of seats are sold?
Solution:
161 is a part of the number \(230\).
Let \(x\) represent the percent to find a percent of \(161\) out of \(230\).
Write a proportion for \(x\) and solve.
\(\frac{161}{230}=\frac{x}{100}→161×100=230x→16100=230x→16100÷230=x→70=x\)
Word Problems Involving the Percentage of a Number– Example 2
There are \(30\) students in a class and 6 of them are girls. What percent are girls?
Solution:
\(6\) is a part of the number \(30\).
Let \(x\) represent the percent to find a percent of \(6\) out of \(30\).
Write a proportion for \(x\) and solve.
\(\frac{6}{30}=\frac{x}{100}→6×100=30x→600=30x→600÷30=x→20=x\)
Related to This Article
More math articles
- DAT Quantitative Reasoning Formulas
- TExES Core Subjects Math Formulas
- Top 10 Tips to ACE the Praxis Core Math Test
- Full-Length TSI Math Practice Test-Answers and Explanations
- How to Balance the Scales: Inequalities with Addition and Subtraction of Mixed Numbers
- Best Laptop Tables and Carts for online teaching
- How to Find Vertical Angles? (+FREE Worksheet!)
- SSAT Upper-Level Math Worksheets: FREE & Printable
- How to Solve an Absolute Value Inequality?
- 5 Best Mini Laptops to Use Anytime, Anywhere
What people say about "How to Solve Word Problems Involving the Percentage of a Number? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.