SOLUTION: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the result fraction is equivalent to 2. what was the origin
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the result fraction is equivalent to 2. what was the origin
Log On
Question 993191: the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the numerator and the denominator, the result fraction is equivalent to 2. what was the original factory?
You can put this solution on YOUR website! Hi there,
the numerator of a certain fraction is 5 times the denominator
Make the denominator = 'x'
= 5x/x
if 6 is added to both the numerator and the denominator,
the result fraction is equivalent to 2.
5x + 6/x + 6 = 2/1
Cross multiply
2(x + 6) = 5x + 6
2x + 12 = 5x + 6
Collect like terms.
2x - 5x = 6 - 12
-3x = - 6
x = 2
Original fraction
= 10/2
Hope this helps :-)
