Percentages and Their Applications

The video tutorial covers the concept of percent equations, explaining how to derive and apply three key equations: part equals percent times whole, percent equals part divided by whole, and whole equals part divided by percent. The instructor provides examples to illustrate how to solve problems using these equations, including scenarios where the part is larger than the whole. The tutorial concludes with advanced problem-solving examples and a summary of the key concepts.

What is the basic relationship between part, percent, and whole in an equation?

• whole = part × percent

• percent = part + whole

• part = percent × whole

• part = percent + whole

How do you isolate the percent in the equation part = percent × whole?

• Divide both sides by part

• Divide both sides by whole

• Multiply both sides by whole

• Subtract whole from both sides

Which equation would you use if you need to find the whole, given the part and percent?

• percent = whole ÷ part

• part = percent × whole

• percent = part ÷ whole

• whole = part ÷ percent

In the problem '49.5 is what percent of 33?', what is the whole?

• 49.5

• 33

• 16.5

• 82.5

If 90 is what percent of 80, which equation would you use?

• part = percent × whole

• percent = whole ÷ part

• percent = part ÷ whole

• whole = part ÷ percent

When Benny's sister is 24, Benny will be 125% of her age. How old will Benny be?

• 24

• 32

• 30

• 28

What is the first step in solving the problem where Benny's age is 125% of Penny's age?

• Subtract 25 from Penny's age

• Add 125 to Penny's age

• Multiply Penny's age by 1.25

• Divide Penny's age by 1.25

How many hours are in 10% of a day?

• 2.5 hours

• 2 hours

• 2.4 hours

• 3 hours

Is 2 hours and 30 minutes more or less than 10% of a day?

• Equal

• Less

• More

• Cannot be determined

What is the equivalent of 10% in fraction form?

• 1/5

• 1/10

• 1/2

• 1/4