Question 837621: mo is thinking of a number. Eleven more than one third of the number is -1. find mo's number.
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! To solve, you will need to first convert this word problem into an equation. Let's look at what the key words in this word problem mean:
"more than" means plus (+)
"of the number" means multiplication (*)
"is" means equals (=)
So, we can set the equation up as follows, using the letter x as our unknown number:
(1/3)x + 11 = -1
Now that we have our equation, we can solve for x. To do this, we need to get x all by itself on the left side of our equal sign. So, the first thing we can do is subtract 11 from both sides of the equation, giving us:
(1/3)x = -1 - 11, which gives us (1/3)x = -12
Next, we can multiply both sides of the equal sign by 3. This will remove the fraction from the left side, leaving us with x by itself on the left side:
x = -12 * 3
Perform the operation to obtain the answer:
x = -36
The number Mo is thinking of is -36. We can verify this by substituting -36 for x in our original equation:
(1/3)(-36) + 11 = -1 ----->
-12 + 11 = -1 ----->
-1 = -1, which is a true statement, so -36 is correct.
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