Solve Multi-Step Equations Quick Check 4 of 54 of 5 Items Question One-quarter of the difference of a number and 3 is 2. Find the number.(1 point) Responses 312 3 and 1 half 11 11 54 5 fourths 20

Answer 1

Let's solve the equation step by step:

Let's call the number we're trying to find "x".

One-quarter of the difference of a number and 3 is 2 can be represented as the equation:

(1/4)(x - 3) = 2

To solve this equation, we can start by multiplying both sides of the equation by 4 to get rid of the fraction:

4 * (1/4)(x - 3) = 4 * 2

This simplifies to:

x - 3 = 8

Next, we can add 3 to both sides to isolate the variable x:

x - 3 + 3 = 8 + 3

This simplifies to:

x = 11

So, the number is 11.