One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
5/4
5 fourths
20
20
3 1/2
3 and 1 half
11
Let's let the number be represented by x.
According to the problem, one-quarter of the difference of the number and 3 is equal to 2.
The expression for this information can be written as:
(1/4)*(x - 3) = 2
We can now solve for x:
Multiply both sides of the equation by 4 to get rid of the fraction:
4 * (1/4)*(x - 3) = 4 * 2
(x - 3) = 8
Add 3 to both sides of the equation:
(x - 3) + 3 = 8 + 3
x = 11
Therefore, the number is 11.