Answer:
[tex]\bold{\frac{n}{3} - 8 = - 13}[/tex]
and the solution is
[tex]\bold{n = -15}[/tex]
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
[tex]\bold{\frac{1}{3}\cdot n = \bold{\frac{n}{3}}}[/tex]
- Eight less than 1/3 a number n is -13
⇒ Eight less than [tex]\frac{n}{3}[/tex]
⇒ [tex]\bold{\frac{n}{3} - 8}[/tex]
- Finally we have the whole sentence
Eight less than 1/3 a number is - 13:
"is - 13" translates to [tex]\bold{= -13}[/tex]
- Putting the pieces together......
"Eight less than 1/3 a number is n - 13" in equation form is
[tex]\boxed{\bold{\frac{n}{3} - 8 = - 13}}[/tex]
If you wanted to solve this equation for n here's how to proceed
- Add 8 to both sides to isolate the n term
[tex]\frac{n}{3}-8+8=-13+8[/tex]
- Simplify
[tex]\frac{n}{3}=-5[/tex]
- Multiply both sides by 3
[tex]\frac{3n}{3}=3\left(-5\right)[/tex]
- Simplify
[tex]n=-15[/tex]
So the solution is [tex]\boxed{\text{n = - 15}}[/tex]
