SOLUTION: The denominator of a certain fraction is three more than twice the numerator. If 7 are added to both terms of the fraction, the resulting fraction is 3/5. Find the original fractio
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Question 89773: The denominator of a certain fraction is three more than twice the numerator. If 7 are added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
The denominator of a certain fraction is three more than twice the numerator. If 7 are added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.
= C
=C
= [original fraction]
or
=
.
(5)(x+7)=(3)(3x+9) [cross-multiply to simplfy]
.
5x+35=9x+27 [solve for the x-term]
35=9x-5x+27
35=4x+27
35-27=4x
8=4x
x=2
.
check by plugging (x=2) back into the original equation
=
=
= [reducing]
= [checks out]
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