SOLUTION: Three fourths of a number decreased by 2is three times the number. What is the number?

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Question 1068000: Three fourths of a number decreased by 2is three times the number. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Three fourths of a number decreased by 2 is three times the number.
3%2F4n - 2 = 3n
multiply equation by 4, get rid of the fraction
3n - 4(2) = 4(3n)
3n - 8 = 12n
-8 = 12n - 3n
-8 = 9n
n = -8%2F9 is the number.
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Check this in the original equation
3%2F4(-8%2F9) - 2 = 3(-8%2F9
-24%2F36 - 2 = -8%2F3
use a common denominator
-2%2F3 - 6%2F3 = 8%2F3 confirms our soluton