8, minus some number divided by 3, equals 6. Find the number.
Option: C is the correct answer.
C) 6
We are given a word problem as:
8, minus some number divided by 3, equals 6.
Let then number be 'b'
i.e. in mathematical expression we are given:
\(8-\dfrac{b}{3}=6\)
on subtracting both side by 8 we obtain:
\(\dfrac{-b}{3}=6-8\\\\\\\dfrac{-b}{3}=-2\)
Now on multiplying both side by -1 we have:
\(\dfrac{b}{3}=2\)
On multiplying both side by 3 we obtain:
\(b=2\times 3\\\\\\b=6\)
Hence, the number is : b=6
Answer:
Option C.
Step-by-step explanation:
Let x be the unknown number.
Some number divided by 3 ⇒ \(\frac{x}{3}\)
8, minus some number divided by 3 ⇒ \(8-\frac{x}{3}\)
It is given that 8, minus some number divided by 3, equals 6.
So, the given equation is
\(8-\frac{x}{3}=6\)
Subtract 8 from both sides.
\(-\frac{x}{3}=6-8\)
\(-\frac{x}{3}=-2\)
Multiply both sides by -3.
\(x=6\)
The value of unknown number is 6. Therefore, the correct option is C.