## Solve Problems using Percentage Strips

On the LearnZillion slide show, multiple models were used to model percentage problems. One model for solving percentage problems is to use percentage strips.

Divide one strip of white paper into ten equal sections and label each section 10%. Follow the steps below to solve the example problem.

**Example:** If 40% of a number is 32, what is 70% of that same number?

**Step 1**: If 40% of a number is 32, then the first four sections of one of your blank strips must have a sum of 32. Divide 32 into four equal parts (each part represents the value 8).

**Step 2**: Enter the value 8 into each 10% for the entire strip.

10% | 10% | 10% | 10% | 10% | 10% | 10% | 10% | 10% | 10% |

8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |

**Step 3**: Find 70% of the original number by calculating the sum of the values in seven partitions (each containing eight). The sum is 56.

Make another three strips, each divided into ten equal sections (10% each), to solve the following problems.

1) 30% of a number is the same as 15% of 40. What is this number?

2) What percent of 35 is the same value as 10% of 70?

3) 25% of 96 is the same as 15% of what number?