SOLUTION: The fifth, fifteenth & fiftieth parts of a number together make 43. Find the number.

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Question 97186: The fifth, fifteenth & fiftieth parts of a number together make 43. Find the number.
Found 2 solutions by mathslover, Earlsdon:
Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
given
x/5 + x/15 + x/50 =43
multiplying by 150 on both sides
x/5 * 150 + x/15*150 + x/50*150 =43*150
30x + 10x + 3x = 43*150
43x = 43*150
x=150

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the required number. From the problem description, you can write:
%28n%2F5%29%2B%28n%2F15%29%2B%28n%2F50%29+=+43 Add the fractions, the LCD is 150.
%2830n%2B10n%2B3n%29%2F150+=+43 Simplify.
43n%2F150+=+43 Multiply both sides by 150.
43n+=+43%28150%29 Divide both sides by 43.
n+=+150