When a number is decreased by 30 % of​ itself, the result is 14. What is the​ number?

Answer 1

So firstly, consider the original number to be x.

Then, since it says the original number was decreased by 30%, it means that the new number is (x-0.3x).

Since the new number is 14. Then we will equate (x-0.3x) to 14.

x-0.3x=14.

0.7x=14

x=(14)/(0.7).

x=20

Answer 2

Let x = the number

Then 30% of that number is 0.3x

The number reduced by 30% of itself is x - 0.3x

So the equation is:

x - 0.3x = 14

0.7x = 14

x = 14/0.7 = 140/7 = 20

Answer 3

Let the unknown number be  x .

When the number is decreased by 30% of itself, the result is 14. This gives:

x - 0.3x = 14

Combine like terms:

0.7x = 14

Answer 4

When a number is reduced by 30%, 70% of it remains. So we know that 14 is 70% of the unknown original number. This means that 14=0.70x. Dividing both sides of the equation by 0.7, we find that x=14/0.7=20, which is the original number!

Answer 5

If a number is 30 percent lower than another number it means it is 70% of the first number (7 is 30% lower then 10 and 7 is 70% of 10)

So do 1/0.7 (Because you multiply this by the original number)

10/7 * 14

The answer is 20.

Their are many other ways to do this but this is a very simple method. If you would like more simple explanations check out my bio. I can defiantly help you succeed in Algebra and my rates are very low at 25 an hour.

I hope my response was useful.

Answer 6

Original * (1 +/- percent change) = new.

x(1-..3) = 14

.7x = 14

x = 14/.7 = 20

Answer 7

I have worked out this problem in a series of steps for your review. Please check out the video and let me know if you have any additional questions. Take care!

Dr. Christal-Joy Turner