SOLUTION: The ratio of men to women in a class is 2:7. Of the 36 students in the class, how many were women?

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Question 421092: The ratio of men to women in a class is 2:7. Of the 36 students in the class, how many were women?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let m = number of men
Let w = number of women
given:
m%2Fw+=+2%2F7
m+%2B+w+=+36
-------------
+m+=+%282%2F7%29%2Aw
%282%2F7%29%2Aw+%2B+w+=+36
+%289%2F7%29%2Aw+=+36+
w+=+%287%2F9%29%2A36+
w+=+28+
There are 28 women in the class
check answer:
m+%2B+w+=+36+
+m++%2B+28+=+36+
+m+=+8+
8%2F28+=+2%2F7
7%2A8+=+28%2A2+
56+=+56+
OK