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Pre-Algebra

Determine unknown information based on amounts, percentages of mixtures, or combined mixtures.

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After completing this tutorial, you will be able to complete the following:

- After completing this Activity Object, learners will be able to:
- Apply proportional reasoning to calculate the percentage of a number.
- Determine unknown information based on amounts, percentages of mixtures, or combined mixtures.

Percent means "Out of 100."

A percent is a ratio in which the whole is 100, so percent means "out of 100." For example, if we're trying to determine what percent of the seats at a sporting event is filled, we count the number of seats filled and divide by the total number of seats, and then write an equivalent fraction with a denominator of 100.

So we can say that 90% of the seats in the stadium are filled.

A mixture is a substance obtained from a combination of two or more substances.

In this Activity Object, students will have mixture problems. A mixture is a substance made up of a combination of two or more substances.

Let's say we're trying to determine the percentage of seats filled at two different sporting events. We know the number of seats filled for each game and the total number of seats:

Game 1

Total Number of Seats = 50,000

Number of Seats Filled = 45,000

Game 2

Total Number of Seats = 50,000

Number of Seats Filled = 40,000

Percentage of seats filled at two different sporting events:

We can see that 85% of the seats at the two games were filled.

Finding the percent of a number.

Example: Find 40% of 600.

- Use percent proportion:
- Part = x
- Whole = 600
- Percent = 40
- The percent can be converted into a decimal and then multiplied by the whole.
- 40% = 0.4
- 0.4 of 600 = 0.4 × 600
- = 240
- The percent can be converted to a fraction and then multiplied by the whole.

Approximate Time | 20 Minutes |

Pre-requisite Concepts | Percent, percentage, percent proportion |

Course | Pre-Algebra |

Type of Tutorial | Skills Application |

Key Vocabulary | mixture, percent, percentage |