One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
20
20
312
3 and 1 half
11
11
54
5 fourths
Let's use algebra to solve this problem. Let the number be represented by x.
The difference between the number and 3 is x - 3.
One-quarter of this difference is (1/4)(x - 3).
According to the problem, this quantity is equal to 2:
(1/4)(x - 3) = 2
To solve for x, we can multiply both sides of the equation by 4:
4(1/4)(x - 3) = 4(2)
x - 3 = 8
Next, we can add 3 to both sides of the equation:
x - 3 + 3 = 8 + 3
x = 11
Therefore, the number is 11.