985-35=950, 950÷2=475, 475+35=510, 510 and 475
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Another way is to note that there are <span><span>(<span>104</span>)</span><span>(<span>104</span>)</span></span> (“10 choose 4”) ways to select 4 balls from a collection of 10. If 4 of those 10 balls are “special” in some way (in this case, “special” = “red”), then the number of ways to choose 4 special balls is <span><span>(<span>44</span>)</span><span>(<span>44</span>)</span></span>. (The factor of <span><span>(<span>60</span>)</span><span>(<span>60</span>)</span></span> is included to convey that, after choosing 4 special balls, we choose none of the 6 non-special balls.) This line of reasoning gives the second expression.
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Solution to this question is, first we need to change the ratio of men to women is 7:5 y = 42y/x = 7/5
5y = 7xx = 5y/7x = (5 * 42)/ 7x = 30
The number of women in the office is 30.The answer is 30.
