SOLUTION: One third of a number added to four fifth of itself is equal to seventeen. find the number?

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Question 1152061: One third of a number added to four fifth of itself is equal to seventeen. find the number?
Found 4 solutions by Alan3354, josgarithmetic, MathLover1, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
One third of a number added to four fifth of itself is equal to seventeen. find the number?
============
(1/3)number + (4/5)number = 17
etc

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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One third of a number added to four fifth of itself is equal to seventeen. find the number?
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n, "a number"


One third of a number, n%2F3

One third of a number added to four fifths of itself,... AMBIGUOUS.

The description might have been intended to express:
"One third of a number added to four fifth of itself is equal to seventeen."
n%2F3%2B%284%2F5%29n=17

A different interpretation may be possible.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let a number be x
one third of a number:%281%2F3%29x
added to four fifth of itself: %284%2F5%29x%2B%281%2F3%29x
is equal to seventeen:%284%2F5%29x%2B%281%2F3%29x=17
find the number:
%284%2F5%29x%2B%281%2F3%29x=17......solve for x, start with common denominator for 5 and 3 which is 15
%28%284%2A3%29%2F15%29x%2B%28%281%2A5%29%2F15%29x=17
%2812%2F15%29x%2B%285%2F15%29x=17........both sides multiply by 15 to get rid of fraction
15%2812%2F15%29x%2B15%285%2F15%29x=17%2A15
cross%2815%29%2812%2Fcross%2815%29%29x%2Bcross%2815%29%285%2Fcross%2815%29%29x=17%2A15
12x%2B5x=17%2A15
17x=17%2A15
cross%2817%29x=15%2Across%2817%29
x=15

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

One third of a number added to four fifth of itself is equal to seventeen. find the number? 
Let the number be N

Then we get: matrix%281%2C3%2C+%281%2F3%29N+%2B+%284%2F5%29N%2C+%22=%22%2C+17%29

5N + 12N = 15(17) ------ Multiplying by LCD, 15

17N = 15(17)

N, or 

That's IT!! COULDN'T be any EASIER! Nothing  COMPLEX or EXTREMELY time-consuming.....NOTHING that should take a DAY!!