Percentage and Proportion Problems

The video tutorial covers solving various percent problems using real-life examples. It begins with calculating the total number of students in a band based on a given percentage. It then moves on to determine the total tire sales from a percentage of sales by one salesman. The tutorial also includes calculating fantasy baseball points, remaining road trip distance, number of at-bats from a batting average, and total savings from a percentage used. Each problem is solved using the formula P = percent × whole, with step-by-step calculations demonstrated.

If 42 students represent 75% of the band, how many students are in the band?

• 56

• 42

• 75

• 100

If 42 students represent 75% of the band, what percentage of the band do 56 students represent?

• 25%

• 50%

• 75%

• 100%

A salesman sold 165 tires, which was 60% of the total sales. What was the total number of tires sold?

• 100

• 275

• 165

• 200

If a salesman sold 165 tires, which was 60% of the total, what percentage of the total is 275 tires?

• 100%

• 60%

• 80%

• 50%

Nick has 7,200 points, which is 20% more than Adam. How many points does Adam have?

• 6,000

• 7,200

• 5,000

• 8,000

Nick's points are 20% more than Adam's. If Adam has 6,000 points, what percentage of Nick's points are Adam's?

• 83.33%

• 120%

• 100%

• 50%

Kurt has driven 276 miles and has 70% of the trip left. How many more miles does he need to drive?

• 276

• 500

• 394

• 350

Kurt has driven 276 miles and has 70% of the trip left. What percentage of the trip has he completed?

• 50%

• 70%

• 100%

• 30%

Derrick had a batting average of 0.250 with 47 hits. How many times did he bat?

• 150

• 200

• 47

• 188

Derrick's batting average is 0.250. If he had 47 hits, what percentage of his at-bats were hits?

• 100%

• 75%

• 50%

• 25%