SOLUTION: If three times a number added to 4 is divided by the number plus 11, the result is four thirds. Find the number?

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Question 1089495: If three times a number added to 4 is divided by the number plus 11, the result is four thirds. Find the number?
Found 2 solutions by math_helper, rothauserc:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
If three times a number added to 4 is divided by the number plus 11, the result is four thirds. Find the number?
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+%283n%2B4%29%2F%28n%2B11%29+=+4%2F3+
++%283n%2B4%29%283%29+=+%28n%2B11%29%284%29+
++9n+%2B+12+=+4n+%2B+44+
+++5n+=+32+ —> +highlight%28n+=+32%2F5%29
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Check: (ok)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(3x+4) / (x+11) = 4/3
:
cross multiply fractions
:
3(3x+4) = 4(x+11)
:
9x+12 = 4x+44
:
5x = 32
:
x = 6.4
:
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the number is 6.4
:
check the answer by substituting for x
:
(3*6.4+4) / (6.4 + 11) = 4/3
:
23.2 / 17.4 = 4/3
:
(232/10) * (10/174) = 4/3
:
232/174 = 4/3
:
Note divide numerator and denominator by 58
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our answer checks
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