Percentage and Division Problems

This video tutorial covers various mathematical problems involving percentages and equations. It begins with a practical example of road paving to explain percentages, followed by solving equations to find unknown values. The tutorial also includes calculating the total number of exam questions using percentages and solving different percentage problems. Additionally, it demonstrates finding solutions to equations and provides a strategy for dividing decimals.

If a crew has paved 3/4 of a mile and this represents 50% of the work, how long is the entire road?

• 1 mile

• 1.5 miles

• 2 miles

• 2.5 miles

What equation represents 40% of a number being 35?

• x = 35/0.4

• x/40 = 35

• 4x = 35

• 0.4x = 35

How do you solve for x in the equation 0.4x = 35?

• Subtract 0.4 from 35

• Divide 35 by 0.4

• Add 0.4 to 35

• Multiply 35 by 0.4

If Priya completed 9 questions which is 60% of the exam, how many questions are there in total?

• 12

• 20

• 15

• 18

What equation represents Priya's completed questions as 60% of the total?

• x = 9*0.6

• 9 = 6x

• 9 = 0.6x

• x = 9/0.6

If 20% of a number is 11, what is the full number?

• 50

• 60

• 44

• 55

75% of a number is 12. What is the full number?

• 24

• 20

• 18

• 16

80% of a number is 20. What is the full number?

• 30

• 25

• 20

• 35

200% of a number is 18. What is the number?

• 9

• 12

• 15

• 18

If 20% of a number is 11, how many times does 20% fit into 100%?

• 5

• 7

• 4

• 6