SOLUTION: The ratio of the sum of K and 12 to 15 is the same as the ratio of 30 to 25. What is K?

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Question 1144888: The ratio of the sum of K and 12 to 15 is the same as the ratio of 30 to 25. What is K?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given  %28K%2B12%29%2F15 = 30%2F25.


Hence,  %28K%2B12%29%2F15 = 6%2F5,  which implies


    K + 12 = %286%2A15%29%2F5 = 6*3 = 18.


ANSWER.  K = 18 - 12 = 6.

Check it on your own.


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Here is a slightly different path to the solution than shown by the other tutor.... Neither solution is any "better" than the other.

%28K%2B12%29%2F15+=+30%2F25
%28K%2B12%29%2F15+=+6%2F5 [simplify the fraction on the right]
%28K%2B12%29%2F15+=+18%2F15 [noting that 15 is a multiple of 5, write the fraction on the right as an equivalent fraction with denominator 15]
K%2B12+=+18
K+=+18-12+=+6