One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)

Question

Responses

312
3 and 1 half

54
5 fourths

11
11

20
20

Answer 1

Let's denote the unknown number as $x$. According to the problem, we have the equation:

$$\frac{1}{4}(x-3)=2$$

To solve for $x$, first multiply both sides of the equation by 4 to eliminate the fraction:

$$x-3=8$$

Next, add 3 to both sides:

$$x=11$$

Thus, the number is 11.