One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
11
11
312
3 and 1 half
20
20
54
5 fourths
Let's call the number 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, (1/4)(x - 3) is equal to 2.
So we can set up the equation: (1/4)(x - 3) = 2.
Now let's 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:
x - 3 + 3 = 8 + 3
x = 11
Therefore, the number is 11.