3 more than 5 times a number is 83. Find that number

Question

It's an algebra word problem, but I'm having trouble figuring out how I would set up the word problem? 

Answer 1

3 more...... than 5 times......."a number"....... is 83!

 

   3  +         (      5       *           x        )    =   83

 

 

In this problem, "a number" can be replaced with "x"

When reading your question, try saying "x" instead of "a number" in your question.

 

 

3 + ( 5x ) = 83

5x = 80

x = 16

Answer 2

Translate the words into mathematical expressions.

 

N = the number

 

"3 more than 5 times a number" translates into 3 + 5N

"is 83" translates into = 83

 

Put the two together and get

 

3 + 5N = 83

 

Now solve for N and get

 

N = (83 - 3)/5 = 16

Answer 3

3 more than 5 times a number is 83

Call the number x

 

5x + 3 = 83

5x = 80

x = 80/5

x = 16