Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2
[tex]\frac{n}{2}[/tex]
followed by this quotient beying multiplied by 4
[tex]\frac{n}{2}[/tex]*4
the product was added to 9
[tex]\frac{n}{2}[/tex]*4+9
the total sum was 25
[tex]\frac{n}{2}[/tex]*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
[tex]\frac{n}{2}[/tex]*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8