when 50 percent of a number is added the result is 150

Question

please help.

Answer 1

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

The underlying equation that we have here is

x + 0.50x = 150  because 50% = 0.50 of the value of x is being added back to it

solving that algebraically for the value of “x” yields

1.50x = 150

x = 150 / 1.5 = 100

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 2

Let's call the unknown number x.

 

The problem tells us that when we add 50% of x to x itself, the result is 150. So the math looks like this:

 

x + (50% of x) = 150

      x + (0.5x) = 150

               1.5x = 150

                    x = 150/1.5

                    x = 100

 

We can check the math by taking 50% of 100 (which is 50) and adding it to 100. We get 150, so we know the math worked out!

 

Remember that percentages are just a different way of expressing fractions of 100. So "25%" = 25/100 = 0.25, and "50%" = 50/100 = 0.5, and so on.

 

 

Answer 3

Are you being asked to find the number?

 

First, let's call the number x.

 

50% is the same as 0.5.

 

So what they're say is that 50% of x PLUs x = 150, or

 

0.5 x + x = 150

1.5 x = 150

 

Divide both sides by 1.5

 

x = 100