Question

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

Answer 1

Answer:

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(:

Answer 2

Answer:

$\bold{\frac{n}{3} - 8 = - 13}$

and the solution is
$\bold{n = -15}$

Step-by-step 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
  $\bold{\frac{1}{3}\cdot n = \bold{\frac{n}{3}}}$
  
  

• Eight less than 1/3 a number n is -13
  ⇒ Eight less than $\frac{n}{3}$
  ⇒ $\bold{\frac{n}{3} - 8}$
  

• 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
  $\boxed{\bold{\frac{n}{3} - 8 = - 13}}$

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
   $\frac{n}{3}-8+8=-13+8$
   
2. Simplify
   $\frac{n}{3}=-5$
   
3. Multiply both sides by 3
   $\frac{3n}{3}=3\left(-5\right)$
   
4. Simplify
   $n=-15$
   
   So the solution is $\boxed{\text{n = - 15}}$