a number is multiplied by 5. If 5 is added to the product, you get 10. what is the number?

Question

mathstudent55 · Answer

Let x be the number.
How do you show the number multiplied by 5?

anonymous · Answer

idk that's what the problem says

mathstudent55 · Answer

Using x, how do you express 5 times x?
It's 5 * x or even simpler, 5x.
Ok?

anonymous · Answer

so the answer is 5x?

mathstudent55 · Answer

No. We are making an equation so we can find the answer.
This is just one step in making and equation.

A number multiplied by 5 is 5x.
Now we add 5 to the product. We add 5 to 5x, so we get 5x + 5

anonymous · Answer

and?

mathstudent55 · Answer

Then we are told that after doing the operations, the answer is 10.
That means 
5x + 5 = 10
This is the equation we must solve for x.

mathstudent55 · Answer

5x + 5 = 10
We want to isolate x.
Since 5 is being added to 5x, we first subtract 5 from both sides.

   5x + 5 = 10
        -5      -5
-------------
   5x       =  5

Now x is being multiplied by 5. We want x alone, so we divide both sides by 5:

5x/5 = 5/5

x = 1

The answer is: the number is 1

mathstudent55 · Answer

Now we can check to see if the answer is correct.
We go back to the original problem:
"A number is multiplied by 5. If 5 is added to the product, you get 10. what is the number?"
We calculated the number to be 1, so let;'s see if it really works.

"A number is multiplied by 5.
5 * 1 = 5

 If 5 is added to the product, you get 10.
5 + 5 = 10

Yes, starting with 1, we do get 10, so 1 is the correct answer.