CAHSEE practice: Problems 32-34 | CAHSEE | Khan Academy | Summary and Q&A

TL;DR

Understanding how to use scale drawings and solve mathematical problems involving proportions.

Key Insights

• 👻 Scale drawings allow us to calculate the actual measurements of objects.
• ⌛ To find an average, it is important to consider the total quantity and the time period.
• ⌛ Distributing tasks among multiple individuals can reduce the time required for completion.

Transcript

Problem number 32. A scale drawing of a horse is shown below. That's the horse. I'm probably not helping you much at this point. What is the actual height of the horse in inches, from the hoof to the top of the head? Well, they made a little scale for us. This distance right here is 8 inches. And then they measure this scale multiple times. So how ... Read More

Questions & Answers

Q: How do you calculate the actual height of the horse in the scale drawing?

By observing the scale measurement and determining that the horse is 9 times the given distance of 8 inches, resulting in a height of 72 inches or 6 feet.

Q: What information is needed to find the average number of packages shipped per day last week?

The necessary information includes the total number of packages shipped last week (60,000) and the number of days the office was open (6).

Q: How is the time needed to complete the landscaping job calculated?

The initial estimate of 48 hours for a single person is divided by the number of people working (4) to determine that each person will take 12 hours. Since each person can only work for 6 hours per day, it will take them 2 days to finish the job.

Summary & Key Takeaways

• The first problem involves determining the actual height of a horse in inches based on a scale drawing, which is found to be 72 inches or 6 feet tall.

• The second problem requires identifying the necessary information to find the average number of packages shipped per day last week, which includes the total number of packages shipped and the number of days the office was open.

• The third problem involves estimating the time needed to complete a landscaping job with 4 people working 6-hour days, concluding that it will take 2 days to finish.