One-quarter of the difference of a number and 3 is 2. Find the number.(1 point)
Responses
20
20
11
11
54
5 fourths
312
To solve this problem, we can set up an equation. Let's say the number is x.
The difference of a number and 3 can be written as x - 3.
One-quarter of the difference is (1/4)(x - 3).
According to the problem, this expression is equal to 2:
(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:
4 * (1/4)(x - 3) = 4 * 2
Simplifying, we have:
x - 3 = 8
Finally, we can solve for x by adding 3 to both sides of the equation:
x = 8 + 3
x = 11
Therefore, the number is 11.