# Percentages Word Problems Worksheets

Word problems are unique critical think activities that tie in both mathematical concepts and reding comprehension skills. There are many areas where students are required to pay a great deal of attention and care when reading. Never more so then when it comes to these types of problems when they include a percentage of some kind. These types of questions tend to be detail heavy and often can detract from the values that actually need to be pondered in order for them to work. A habit that we encourage all students to take here is to get into the habit of restating problems in the hopes of getting things removed that do not matter towards the final solution. This selection of lessons and worksheets will show students how to approach and solve word problems that have percentages included.

### Aligned Standard: 7.RP.A.3

- Step By Step Lesson- We see how far it is, essentially, from Washington D.C. to Norfolk, VA.
- Percentages at the Restaurant Guided Lesson - Time to do eating out math.
- Guided Lesson Explanation - You will quickly see a pattern in these types of problems.
- Percent Increase & Decrease: Worksheet 1 - First, determine if the value is going up or down.
- Leaving Tips: Worksheet 2 - How much are the tips for your favorite tables?

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

Working with Percents, The Ideal Apartment, and Creative Math.

- Homework 1 - Solve each word problem. Round to the nearest hundredth.
- Homework 2 - You're selling an apartment, including all the furniture inside, so you need a way to describe the apartment to sell it fast!
- Homework 3 - Create two percentage word problems. Make sure you can solve the problems based on the information you gave by solving it on your own first (on a separate piece of paper).

### Practice Worksheets

Math with Words, Real-World Money Problems, and Problems in Paradise.

- Practice 1 - If a barista makes 195 drinks per day and she messes up 40% of the drinks, how many drinks does make incorrectly?
- Practice 2 - You went to your favorite restaurant for dinner, and the food and service was great. You spent $45.78 and want to leave a 20% tip. How much money should you leave for a tip?
- Practice 3 - You're on vacation and have encountered nearly every problem possible. Solve the problems to have a successful vacation!

### Math Skill Quizzes

What's the (Word) Problem? + All about that Money.

- Quiz 1 - Pine Grove High School has a total of one thousand and twenty students. Ten percent of the students are out sick, and twenty‐five percent of the students are on a field trip. How many students are currently in the school?
- Quiz 2 - Larry is allowed to buy food in the work cafeteria using his payroll. If Larry makes $230 per week and buys $35.66 worth of food, what percentage of his payroll did he use on food?

### What is a Percentage?

Mathematics has a number of various operations for solving questions such as addition, subtraction, multiplication, division, and so on. One of the very significant operations that is often used in multiple places in mathematics is division because it can be used to express the concept of a value in a number of different ways. One of the most fundamental ways to express a value in our base ten number system is to state that value in the form of a percentage. The word percentage comes from the Latin word per centum, which means per hundred. In math, a percentage is defined as a fraction that is expressed as a number out of 100. The % symbol denotes the number expressed in percentage.

For converting a number into a percentage, the number is divided by 100. For example: 20/100 = 20% | 90/100 = 90% For converting a decimal or fraction to a percentage, the number is multiplied by 100, then add the % symbol. For example; 0.67 x 100 = 67%.

This is pretty significant because in most cases it indicates how full something is. That can be your gas tank of your car. For example, a half of a tank of gas is the same as 50%. The inverse is often true as well and they can be used to indicate growth or decay from your current state or a previous state. You could use percentages to indicate the cost of an item that is on sale. An item may cost $40 and be on sale for 30% off. That would mean that the current cost is $28. Percentages are often found in statistics to indicate the likelihood of something how happening. For example, your weather report may tell you there is an 80% chance of rain. This doesn’t mean it is definitely going to rain, but I would have an umbrella handy.

### When Will You Use This in The Real World?

In the advertising world percentages are used to manipulated and help motivate customers. You will often see sales and discounted pricing using these measures. If you were told that you will save one dollar and fifty cents when buying a shirt, you would not hyper motivate to jump at making that purchase. If the same retailer told you that everything in the store was discounted fifteen percent, today only, that would motivate you to get out your wallet. It is also used to understand where a business is. It is a vital metric used to determine growth and overall success of a business. Companies are constantly focused on increase the revenue and profit column by percentages. Each of those columns can be manipulated to demonstrate growth and overall success. Investors are constantly looking at these two metrics. Some careers that work on commission this is where you get paid when you make a sale. They often are determined by a percentage. This can inspire a salesperson to push products or services that have the best outcome for themselves. If you are aware of this when you are purchasing products it can help you determine the value of what a salesperson is telling you.