SOLUTION: can someone plss help me? solve the problem. A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: can someone plss help me? solve the problem. A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of       Log On


   

Question 453606: can someone plss help me?
solve the problem.
A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of 5/8. find the number.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be that number.


The problem translates to the equation: %285%2Bx%29%2F%288-x%29=8%2F5


%285%2Bx%29%2F%288-x%29=8%2F5 Start with the given equation.


5%285%2Bx%29=8%288-x%29 Cross multiply.


25%2B5x=64-8x Distribute.


5x=64-8x-25 Subtract 25 from both sides.


5x%2B8x=64-25 Add 8x to both sides.


13x=64-25 Combine like terms on the left side.


13x=39 Combine like terms on the right side.


x=%2839%29%2F%2813%29 Divide both sides by 13 to isolate x.


x=3 Reduce.


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Answer:

So the solution is x=3