GMAT: Math 32 | Problem solving | GMAT | Khan Academy

TL;DR

A math lesson on solving problems involving ratios and applying them to different scenarios.

Transcript

I was interrupted in the last video by a phone call. I was actually expecting a phone call from someone whose call I wanted to take, but that ended up being one of those robocallers. So, anyway, I was on problem 163. Let me just start it over so that I don't interrupt your train of thought. A fruit salad mixture consists of apples, peaches, and gra... Read More

Key Insights

• 🥳 Ratios can be used to solve problems involving different components and find the relationship between them.
• 🆘 Assigning variables to each component helps simplify the problem and make it easier to solve.
• 😫 Equations can be set up based on the given information, allowing you to find the values of the variables and solve the problem.
• 😫 Visualizing attributes as overlapping circles and using set theory can help determine the number of individuals with multiple attributes.

Questions & Answers

Q: How do you solve a ratio problem with different components?

To solve a ratio problem, it is helpful to assign variables to each component and set up equations based on the given ratios. By substituting these variables and finding their values, you can determine the quantities of each component.

Q: How can you find the total number of games played by a team?

To find the total number of games played, you need to calculate the number of games won in each scenario (such as the first 100 games and the remaining games). Adding these together will give you the total number of games played.

Q: How can you solve a problem involving relationships between two variables?

By setting up equations based on the given information and substituting the variables, you can solve for one variable in terms of the other. This allows you to find specific values or express one variable in relation to the other.

Q: How do you find the number of applicants who possess multiple attributes based on given information?

By visualizing the attributes as overlapping circles and using basic set theory, you can calculate the number of applicants who have multiple attributes. This involves adding the numbers of people with individual attributes and subtracting the intersection once.

Summary & Key Takeaways

• The video discusses solving a ratio problem involving a fruit salad mixture and determining the weight difference between apples and grapes.

• Another problem involves finding the number of dollars Jim has in terms of x and y, given specific equations that represent his relationship with Louise.

• The video also covers finding the total number of games played by a team based on the percentage of games won during different parts of the season.

• Finally, a problem asks for the number of applicants who have both at least 4 years of experience and a degree based on given information.