hellooooo help !!

Question

multiply a number by 3 and subtract 40 from it. this yields the same outcome as the sum of 1/2 of the number and 100. find the number.

idk how to do the last part it's confusing me

Answer 1

Let "n" be the number.

Then "multiply a number by 3" means "3n" and "subtract 40 from it" means "3n - 40"

And "1/2" of the number is "n/2" and the sum of that and 100 is "n/2 + 100"

We are told that both of these "yield the same outcome" so:

3n - 40 = n/2 + 100

To solve this, it might be easier to multiply everything by 2 to eliminate the fraction so:

6n - 80 = n + 200

Can you continue to process of solving?