12.a Percent Word Problems

Question 1

How would you express 5 percent of “z”?

Answer 1

5/100 * z = 5z / 100 = z / 20

Question 2

What does “percent of” indicate?

Answer 2

Represents the multiplication of a given percent by a given number

Question 3

Solve:

Answer 3

Question 4

Solve:

Answer 4

Question 5

How would you find 1/10th of a percent of x?

Answer 5

Question 6

What does “what percent” indicate?

Answer 6

Two possible questions:

• What percent is 50 of 100
• 100 is what percent of 50

Question 7

Solve:

Answer 7

Question 8

What does “percent less than” indicate?

Answer 8

These problems relate to a reduction in value of something

Question 9

What is the equation for “percent less than”?

Answer 9

Question 10

Solve:

Answer 10

Question 11

How do you translate “percent less than” to “percent of”?

Answer 11

Use the SAME equation!

Question 12

25 percent less than z, how would you express this new value as a percent of z?

Answer 12

Question 13

What is the equation used to calculate “percent greater than”?

Answer 13

Question 14

Solve:

Answer 14

Question 15

25 percent GREATER than z, how would you express this new value as a percent of z?

Answer 15

Question 16

Solve:

Answer 16

Question 17

How would you increase or decrease a value by a variable percent?

Answer 17

Use the same equations, just replace the percent with a variable!

Question 18

Markup $1000 by x percent

Answer 18

Question 19

Markdown $1000 by x percent

Answer 19

Question 20

What is the equation for sales tax questions?

Answer 20

Question 21

Solve:

Answer 21

Question 22

How would you tackle this?

Answer 22

You have to create a system of equations…

eq.1) Sales tax at y % - Sales tax at 3.5% = $9.6

eq.2) Total cost = (pre-tax price) x (1 + percent /100)

Question 23

Solve:

Answer 23

Question 24

Successive percent changes must be ___________

Answer 24

Successive percent changes must be MULTIPLIED

Question 25

Solve:

Answer 25

Question 26

Solve:

Answer 26

Question 27

What is the equation for "percent change"?

Answer 27

Question 28

Solve:

Answer 28

Question 29

Solve:

Answer 29

Question 30

Solve:

Answer 30

Question 31

Solve:

Answer 31

Question 32

What is the equation to calculate profit as a percentage of cost?

Answer 32

( profit / cost ) x 100

Question 33

Solve:

Answer 33

Question 34

Solve:

Answer 34