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)   (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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Answer by rothauserc(4718)   (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
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check the answer by substituting for x
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(3*6.4+4) / (6.4 + 11) = 4/3
:
23.2 / 17.4 = 4/3
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(232/10) * (10/174) = 4/3
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232/174 = 4/3
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Note divide numerator and denominator by 58
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our answer checks
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