One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
11
11
3 1/2 3 and 1 half
20
20
5/4
To find the number, we can set up an equation.
Let's represent the number as "x".
The difference of a number and 3 can be expressed as x - 3.
One-quarter of this difference is (1/4)(x - 3).
According to the problem, this expression is equal to 2.
Setting up the equation, we have:
(1/4)(x - 3) = 2
To solve for x, we can multiply both sides of the equation by 4 to eliminate the fraction:
4 * (1/4)(x - 3) = 4 * 2
Simplifying, we get:
x - 3 = 8
To isolate x, we can add 3 to both sides:
x - 3 + 3 = 8 + 3
Simplifying further:
x = 11
Therefore, the number is 11.