# Using Strip Models to Solve Percentage Problems

A strip model is a visual representation that can be used to understand and solve problems involving percentages.

## Step-by-step guide to using strip models to solve percentage problems

Here’s a step-by-step guide to using strip models to solve percentage problems:

- Understand the problem: Read the problem carefully and identify the information provided and the information that needs to be found.
- Draw a strip model: Draw a strip divided into equal parts, with each part representing a certain percentage. The strip can be divided into 100 equal parts, with each part representing 1%.
- Identify the whole: Identify the total amount or quantity that the percent represents.
- Shade in the appropriate number of parts: Shade in the number of parts that represent the percent. For example, if the problem states that an item is 20% off, shade in 20 parts of the strip.
- Label the shaded parts: Label the shaded parts with the percent or fraction that they represent.
- Use the strip model to find the part or whole: Use the strip model to find the part or whole by counting the number of shaded parts or the number of unshaded parts and multiplying by the whole.
- Write the final answer in a complete sentence: Use the information from the strip model to express the final answer.

**Using Strip Models to Solve Percentage Problems – Examples 1**

A shirt is on sale for 25% off. The original price of the shirt is $50. What is the sale price of the shirt?

**Solution:**

- We are given that the shirt is on sale for 25% off and the original price is $50.
- Draw a strip divided into 100 equal parts.
- Identify the whole: The original price is $50.
- Shade in 25 parts of the strip
- Label the shaded parts: 25%
- Use the strip model to find the part or whole: 25% of $50 is $12.5
- The sale price of the shirt is $50 – $12.5 = $37.5.

It’s worth noting that this is just one way to use strip models to solve percentage problems, and you can use different models depending on the information provided in the problem.

**Using Strip Models to Solve Percentage Problems – Examples **2

The restaurant has 125 tables. If 50 of them are reserved, what percentage of them are reserved? Use a strip model to show.**Solution:**

The total tables are 125 and the reserved tables are 50.

Since 50 is \(\frac{2}{5}\) of 125, divide the strips model into 5 parts.

Divide 100% by 5 to know the percent of each part of 125.

So, 50 reserved tables are equal to 40%.

**Using Strip Models to Solve Percentage Problems – Examples 3**

60% of the 30 books on the shelves are new. How many of the books on the shelves are new? Use a strip model to show.**Solution:Step 1: **The total number of books is 30 and new books are 60%. Since 60% is \(\frac{6}{10}\) of 100%, divide the strip model into 10 parts.

**Step 2:**To find the number of each part of the percentage, divide 30 by 10. It is 3.

**Step 3:**To find 60% of the new books, multiply the 6 parts of the strip model by 3 in each part. \(6×3=18\). So, the new books are equal to 18.

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