Percent word problem examples

TL;DR

Val scored 742 points, and there are 120 goblins in the magic club. Cody was 150 centimeters tall on the first day of school last year.

Transcript

• [Instructor] In a video game, Val scored 30% fewer points than Peeta. Peeta scored 1,060 points. How many points did Val score? Pause this video and see if you can figure out how many points Val scored. Alright, now let's do this together. And there's a couple of ways that you could think about it. One way to think about is Peeta scored 1,060 poi... Read More

Key Insights

• ❓ Calculating percentages is a fundamental skill in mathematics and can be applied in various scenarios.
• 💼 In some cases, determining a percentage difference involves subtracting a percentage from a given value.
• ✖️ Another approach to calculating a percentage difference is multiplying a value by the percentage as a decimal or fraction.
• ❓ Algebraic equations can be used to solve problems involving unknown quantities.
• 😑 Substituting equations and simplifying expressions can aid in solving complex problems.
• 😒 The use of variables allows for more flexible problem-solving and can represent any unknown value.
• 🛟 Real-life scenarios can be modeled and solved using mathematical concepts.

Questions & Answers

Q: How did the video calculate Val's score?

The video explains two methods for calculating Val's score. One approach is to subtract 30% of Peeta's score from Peeta's score, resulting in Val's score of 742. The other method involves multiplying Peeta's score by 70%, arriving at the same result.

Q: How many goblins are in the magic club?

By setting the number of wizards as "w" and using the information that goblins are 20% more than wizards, we can substitute this into the equation w + 1.2w = 220 to find the number of wizards as 100 and thus the number of goblins as 120.

Q: How tall was Cody last year on the first day of school?

By defining Cody's height last year as "x" and adding 10% of x to x, we can set up the equation x + 1/10x = 165. Solving for x, we find his height last year to be 150 centimeters.

Q: Can you explain the steps used to solve the equations?

The video demonstrates a clear step-by-step process for solving each equation, including examples of how to multiply decimals and divide by fractions. It is advisable to watch the video for a comprehensive understanding.

Summary & Key Takeaways

• In a video game, Val scored 30% fewer points than Peeta, who scored 1060 points.

• There are 20% more goblins than wizards in a magic club with a total of 220 members. There are 120 goblins.

• Cody was 10% taller on the first day of school this year, measuring 165 centimeters, compared to the previous year's height of 150 centimeters.