Question

Write each sentence as an equation. Eight less than 1/3 a number is n -13.​

Answer 1

`\bold{(n)/(3) - 8 = - 13}`

and the solution is

`\bold{n = -15}`

Explanation:

I believe this sentence is mistyped
It should be Eight less than 1/3 a number n is -13

Analyze the word problem piece by piece not necessarily from the beginning of the sentence

• The number is given as n in the sentence part boldfaced below
  Eight less than 1/3 a number n is -13
  
• Eight less than 1/3 a number n is -13
  We take the phrase "1/3 a number n" and translate that as
  
  `\bold{(1)/(3)\cdot n = \bold{(n)/(3)}}`
  
  

• Eight less than 1/3 a number n is -13
  ⇒ Eight less than
  `(n)/(3)`
  ⇒
  `\bold{(n)/(3) - 8}`
  

• Finally we have the whole sentence
  Eight less than 1/3 a number is - 13:
  "is - 13" translates to
  `\bold{= -13}`

• Putting the pieces together......
  "Eight less than 1/3 a number is n - 13" in equation form is
  
  `\boxed{\bold{(n)/(3) - 8 = - 13}}`

If you wanted to solve this equation for n here's how to proceed

1. Add 8 to both sides to isolate the n term
   
   `(n)/(3)-8+8=-13+8`
   
2. Simplify
   
   `(n)/(3)=-5`
   
3. Multiply both sides by 3
   
   `(3n)/(3)=3\left(-5\right)`
   
4. Simplify
   
   `n=-15`
   
   So the solution is
   `\boxed{\text{n = - 15}}`
   
   

Answer 2

Step-by-step explanation: Given that eight less than one-third of a number n is -13.

We are to find the value of n.

According to the given information, the equation for n can be written and solved as follows :

Thus, the required value of n is -15. I hope this really helps you(: