Asymphony has 125 musicians. Seventy five of them are women. Which of the following is the ration of the men to the total musicians in the symphony

50:125

What an elegant explanation, UK_IN_US. I am sure that menure has a comprehensive understanding of ratios and their applications to problem solving. Bravo!

Ok but for real menure let's do this. Find the ratio of men to members. This is the problem, boiled down.

We know how many members there are (125) and how many women there are (75). To find the ratio of men to members\[men/members=\frac{men}{members}=men:members\] We need to know the number of men. We can substitute what we know: \[men/125=\frac{men}{125}=men:125\] But we do not yet know the number of men.

I beg your pardon. Divide the number of men (125 (total) minus 75 ( women) = 25) by the total, 125.

Think logically, if men and women compose the orchestra, we can put that into math words by saying men + women = orchestra Again, let's substitute what we know. men + 75 = 125 This is a missing addend problem. Men is being added to 75 to make 125, so how many men are there?

This gives you your ratio.

men + 75 = 125 men = 50 I hope you can figure out how I got 50 men. Either way, let's check. men + women = orchestra 50 + 75 = 125 125 = 125 It works So we have everything we need to finish our problem.

\[men/125=\frac{men}{125}=men:125\]men = 50 Let's put it in \[50/125=\frac{50}{125}=50:125\]

Stamp, you explained it more comprehensively, I'll admit. However, the snide comment was not appreciated. Also, sorry to menure for turning this thread into a minor flaming.

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