When four times the number is added to 7 times the number, the result is 33, what is the number?
4x + 7x = 33
11x = 33
x = ?
4 times a number added to 7 times the number equals 33
Let's solve this equation step-by-step:
Let's assume the number is represented by 'x'.
According to the given information, "four times the number is added to 7 times the number, the result is 33."
So, the equation becomes:
4x + 7x = 33
Simplifying this equation, we add the like terms:
11x = 33
To find the value of 'x', we need to isolate it on one side of the equation. So, we divide both sides of the equation by 11:
(11x) / 11 = 33 / 11
Simplifying further:
x = 3
Therefore, the number is 3.
To solve this problem, we can set up an equation based on the given information and then solve for the unknown number.
Let's call the unknown number "x".
According to the question, when four times the number is added to 7 times the number, the result is 33.
So, we can write the equation as:
4x + 7x = 33
Now we can combine like terms:
11x = 33
To isolate the variable, we divide both sides of the equation by 11:
x = 33 / 11
Simplifying the equation, we get:
x = 3
Therefore, the number is 3.