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

Question

Responses

20
20

5/4
5 fourths

3 1/2
3 and 1 half

11

Answer 1

To solve the problem, we can set up an equation based on the information given.

Let $x$ be the number we need to find. According to the problem, one-quarter of the difference of $x$ and 3 is equal to 2. This can be expressed as:

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

To eliminate the fraction, multiply both sides by 4:

$$x-3=8$$

Next, add 3 to both sides to solve for $x$:

$$x=8+3$$ $$x=11$$

So, the number is 11.

The correct response is 11.