Part, Whole, & Percent Proportion Word Problems

TL;DR

Learn how percent proportions work in algebra and how to find the part, percent, and base using the equation part/whole = percent/100.

Transcript

in this lesson we're going to talk about percent proportions in a percent proportion the ratio between the part and the whole is equivalent to the ratio between the percent and 100 so therefore you can set it up as an equation or proportion so here's the equation that we're going to use the part divided by the whole is equal to the percent divided ... Read More

Key Insights

• ❓ The equation for percent proportions in algebra is part/whole = percent/100.
• 🔑 The value associated with the word "is" is the part, and the value associated with the word "of" is the whole in a percent proportion problem.
• ❓ When the part exceeds the whole, the percentage will be greater than 100.
• ❓ To find the part, substitute the values of the percent and the whole into the equation and solve for the part.
• ⚾ To find the base, substitute the values of the part and the percent into the equation and solve for the base.
• ❓ To find the percent, substitute the values of the part and the whole into the equation and solve for the percent.
• 🅰️ The percent proportion formula can be used to solve various types of percent proportion problems.

Questions & Answers

Q: What is the equation used to solve percent proportions in algebra?

The equation used is part/whole = percent/100, where the part, whole, and percent are represented by their respective values.

Q: How do you find the part in a percent proportion problem?

To find the part, substitute the values of the percent and the whole into the equation part/whole = percent/100 and solve for the part.

Q: How do you find the base in a percent proportion problem?

To find the base, substitute the values of the part and the percent into the equation part/whole = percent/100 and solve for the base.

Q: How do you find the percent in a percent proportion problem?

To find the percent, substitute the values of the part and the whole into the equation part/whole = percent/100 and solve for the percent.

Summary & Key Takeaways

• Percent proportions in algebra involve finding the part, percent, or base using the equation part/whole = percent/100.

• To find the percent, you can substitute the values of the part and the whole into the equation and solve for the percent.

• To find the part, substitute the values of the percent and the whole into the equation and solve for the part.

• To find the base, substitute the values of the part and the percent into the equation and solve for the base.