Solve.
-One-half of a number is 3 more than one-sixth the same number. What is the number?
A)12
B)9
C)8
D)18

Question

Quizplus · Accepted Answer

Let's call the number "x".

According to the problem:

1/2 x = 3 + 1/6 x

To solve for x, we can start by isolating the variable on one side of the equation:

1/2 x - 1/6 x = 3

To subtract these fractions, we need a common denominator:

3/6 x - 1/6 x = 3

Simplifying the left side:

2/6 x = 3

Dividing both sides by 2/6:

x = 9

So the answer is B, 9. Let's call the unknown number "x". 
According to the problem, we can set up the following equation: 
1/2 x = (1/6)x + 3 
To solve for x, we can first subtract (1/6)x from both sides: 
1/3 x = 3 
Then, we can multiply both sides by 3 to isolate x: 
x = 9 
Therefore, the answer is choice B)9.

Solve. -One-Half of a Number Is 3 More Than One-Sixth the the Same