Patrick B. answered 12/04/18
Math and computer tutor/teacher
(9+x)/(5+x) = 7/3
3(9+x) = 7(x+5)
3x + 27 = 7x + 35
-8 = 4x
x=-2
Alondra A.
asked 12/04/18If a certain number is added to both the numerator and denominator of the fraction 9/5, the result is 7/3 . Find the number.
Patrick B. answered 12/04/18
Math and computer tutor/teacher
(9+x)/(5+x) = 7/3
3(9+x) = 7(x+5)
3x + 27 = 7x + 35
-8 = 4x
x=-2
Let x = the number you add to the numerator and denominator of 9/5 to get 7/3
(9+x)/(5+x) = 7/3
Cross multiply:
3(9 + x) = 7(5+x)
27 + 3x = 35 + 7x
Solve for x. Check your answer.
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