One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
20
20
312
3
1
2
3 and 1 half
54
5
4
5 fourths
11
Let's start by setting up an equation based on the given information.
Let the number be represented by x.
The difference of a number and 3 is x - 3.
One-quarter of this difference is (1/4)(x - 3).
According to the problem, this is equal to 2.
So, we can write the equation as: (1/4)(x - 3) = 2.
To solve for x, we can multiply both sides of the equation by 4 to get rid of the fraction:
x - 3 = 8.
Then, we can solve for x by adding 3 to both sides:
x = 11.
Therefore, the number is 11.