When number is decreased by 30% of itself, the result is 77. What is the number?

Question

When number is decreased by 30% of itself, the result is 77. What is the number?

Answer 1

Just turn the words into an equation:

 

If X is the number and X - (X * 0.3) = 77, then:

0.7 * X = 77

X = 77/0.7

X = 110

 

Answer 2

Hello, thank you for taking the time to post your question!

The equation you can use to model this situation is

x – 0.30x = 77  because it’s saying that the number “x” is reduced by 30% = 0.30

solving that for x I get

0.70x = 77

x = 77 / 0.70 = 110

meaning that the original number here is 110

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

Let x = the number

 

Then x - 0.30x = 77

 

            0.70x = 77

 

                  x = 77/0.70 = 110