SOLUTION: ((C+5)/7)+((C-30)/4)=5/14 I KEEP COMING UP WITH BIG NUMBERS EVEN THOUGHT THE SOLUTION IS SUPPOSED TO BE "1"

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Question 255307: ((C+5)/7)+((C-30)/4)=5/14
I KEEP COMING UP WITH BIG NUMBERS EVEN THOUGHT THE SOLUTION IS SUPPOSED TO BE "1"

Found 2 solutions by Alan3354, drk:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
((C+5)/7)+((C-30)/4)=5/14
Multiply thru by 28
4(C+5) + 7(C-30) = 10
4C+20 + 7C-210 = 10
11C - 190 = 10
11C = 200
C = 200/11 =~ 18.1818...
------------
It's not 1.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!

step 1 - find the common denominator. It is 28.
step 2 - multiply every number by 28 to get

and then

step 3 - combine like terms on the left to get

add 190 to both sides to get


c= 18.1818....
--
checking, we get


3.3116 - 2.9545 ~ .357054 ; 5/14 = .3571428

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