How would you do these percentages?

Question

6% of n = 9
and
80% of n = 20
What is the formula used to figure these out? I've done them twice for my kid but the answers are not on the answer sheet. I think the answer sheet is incorrect. Thanks

Answer 1

9/.06=150
20/.8=25

Answer 2

follow this rule

the percent number is always written as a fraction over 100

in the problem, whatever follows the word of is placed in the bottom of a second fraction.

then use cross multiplication to solve the proportion

6% of n = 9 translates into 6/100 = 9/n

and cross mult. yields 6n = 900 or x = 150


80% of n = 20 translates into 80 / 100 = 20 / n


and 80n = 2000 or n = 25


works for many types of problems, not just these two.

Answer 3

percent can also be expressed as a decimal. For example, 6% is 0.06 and 80% is 0.80. Essentially you're multiplying your "n" by these decimals to get your final answer.

0.06 x n = 9
divide both sides by 0.06 and you'll get n = 150

0.80 x n = 20, so 20/0.80 = n = 25

Answer 4

6% of n = 9 means that 6n/100 = 9
6n = 900
n = 150

80% of n=20 means that 80n/100 = 20

Let's reduce the fraction

4n/5 = 20

4n = 100

n=25

Answer 5

Divide...and conquer.

6% of n=9, then n=9/0.06 = 150
80% of n=20, then n=20/0.8 = 25

Double check your work by plugging the numbers back in.
6% of 150 is 9.
80% of 25 is 20.

Answer 6

150 x6 /100=9 20x80/100=25

Answer 7

Value of 1st n:
n = 9 / 6%
n = 150

Answer: 1st n is 150.

Value of 2nd n:
n = 20 / 80%
n = 25

Answer: 2nd n is 25.

Answer 8

Divide .06 into 9 and you'll get n.
Divide .8 into 20 and you'll get n.