if 11 is 4 less than 3 times a number, what is the number?
11 = 3n - 4
15 = 3n
5 = n
To find the number, we need to solve the equation "11 is 4 less than 3 times a number." Let's break it down step by step:
Let's assume the number is represented by "x."
Step 1: Translate the problem statement into an equation.
"11 is 4 less than 3 times a number" can be written as:
11 = 3x - 4
Step 2: Solve the equation for x.
To isolate the variable x, we need to get rid of the constant term (-4) on the right side of the equation. We can do this by adding 4 to both sides:
11 + 4 = 3x - 4 + 4
15 = 3x
Step 3: Solve for x by dividing both sides of the equation by 3:
15/3 = 3x/3
5 = x
Step 4: Interpret the solution.
The number in question is 5. Therefore, if 11 is 4 less than 3 times a number, then the number is 5.
To find the number, we can set up an equation based on the given information.
Let's assume the number is represented by "x."
According to the statement, "11 is 4 less than 3 times a number," we can write the equation as:
11 = 3x - 4
To solve for x, we can start by isolating the variable.
Add 4 to both sides of the equation:
11 + 4 = 3x - 4 + 4
Simplifying the equation gives:
15 = 3x
Now, divide both sides of the equation by 3:
15/3 = 3x/3
Simplifying further, we get:
5 = x
So, the number is 5.