if 150 is subtracted from 7 times a number ,the result is the same as when 250 is subtracted from 3 times the number. what would be the result if 100 were added to to 6 times the number
When 4 times a number is subtracted from 7 times the number, the result is 33. Find the number.
three times a number, subtracted from 100
I have the same problem now……..
My work is:
7x - 150 = 3x - 250
Get the variables on one side and the constants on the other.
Solve for x.
To solve this problem, let's first introduce a variable to represent the unknown number. Let's call it "x".
According to the problem, "150 is subtracted from 7 times a number". This can be written as:
7x - 150
Similarly, "250 is subtracted from 3 times the number" can be written as:
3x - 250
The problem states that these two expressions are equal, so we can set them equal to each other and solve for x:
7x - 150 = 3x - 250
First, let's isolate the variables on one side by subtracting 3x from both sides:
7x - 3x - 150 = -250
This simplifies to:
4x - 150 = -250
Next, let's isolate the constant term by adding 150 to both sides:
4x - 150 + 150 = -250 + 150
This simplifies to:
4x = -100
Finally, divide both sides by 4 to solve for x:
(4x)/4 = -100/4
This gives us:
x = -25
Now we can substitute this value of x into the expression "100 added to 6 times the number":
6(-25) + 100
Calculating this, we get:
-150 + 100
Therefore, the result of adding 100 to 6 times the number (-25) is -50.