SOLUTION: The ratio of men to women working for a company is to 2 to 3. If there are 105 employees total, how many women work for the company?

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Question 1143381: The ratio of men to women working for a company is to 2 to 3. If there are 105 employees total, how many women work for the company?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of men
+x+%2F+%28+105+-+x+%29+=+2%2F3+
Multiply both sides by +3%2A%28+105+-+x+%29+
+3x+=+2%2A%28+105+-+x+%29+
+3x+=+210+-+2x++
+5x+=+210+
+x+=+42+
and
+105+-+x+=+105+-+42+
+105+-+x+=+63+
63 women
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check:
+42%2F63+=+2%2F3+
+%28+6%2A7%29+%2F+%28+9%2A7%29+=+6%2F9+
+6%2F9+=+2%2F3+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The ratio of men to women working for a company is to 2 to 3. If there are 105 employees total, how many women work for the company?
Number of women: