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"

Algebra ->  Polynomials-and-rational-expressions -> 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"      Log On


   

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) About Me  (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...
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It's not 1.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28C%2B5%29%2F7%29%2B%28%28C-30%29%2F4%29=5%2F14
step 1 - find the common denominator. It is 28.
step 2 - multiply every number by 28 to get
4%2A%28C%2B5%29%2B7%2A%28C-30%29=2%2A5
and then
4C+%2B+20++%2B+7C+-+210+=+10
step 3 - combine like terms on the left to get
11C++-+190+=+10
add 190 to both sides to get
11C++-+190+=+10
11C+=+200
c= 18.1818....
--
checking, we get
%28%2818.1818%2B5%29%2F7%29%2B%28%2818.1818-30%29%2F4%29=5%2F14
%28%2823.1818%29%2F7%29%2B%28%28-12.1818%29%2F4%29=5%2F14
3.3116 - 2.9545 ~ .357054 ; 5/14 = .3571428