Question 4

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

20
20

54
5
4
5 fourths

312
3
1
2
3 and 1 half

11
11

1 answer

Let's solve the equation step by step.

Let the unknown number be \( x \).

According to the problem, we have:

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

To eliminate the fraction, we can multiply both sides of the equation by 4:

\[ x - 3 = 8 \]

Next, we add 3 to both sides to solve for \( x \):

\[ x = 8 + 3 = 11 \]

Thus, the number is \( 11 \).

The correct response is 11.