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Question 687279: Three-fourths of a number is fifteen more than two-sixths of the number. What is the number?
Answer by josh_jordan(263)   (Show Source):
You can put this solution on YOUR website! To solve, let's first turn this word problem into an equation. Three-fourths of a number is fifteen more than two-sixths of the number, can be written as:
 , where x stands for the unknown number. Let's re-write this, putting the x's in the numerators:
Next, looking at the denominators of each fraction, determine what number is the first number that goes both denominators. 12 is the first number that each denominator has in common, so we will multiply the entire equation by 12:
Simplifying gives us:
9x = 4x + 180
Next, because we need to isolate the x on one side of the equation, we will subtract 4x from both sides:
9x - 4x = 4x + 180 - 4x
Simplify:
5x = 180
Finally, divide both sides of the equation by 5:
 =
x = 36
*You can validate by replacing x with 36 in our original equation
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