A total of 24 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?	Options:
A) 32.2	B) 31.5	C) 32	D) 32.5	E) 33
Let 32.2w = average age of women   32.2verage = (Number of men X average age of men + Number of women X average age of women)/total number of people   35 * 50 = 24 * 38 + 26 * 32.2w   =&gt;1750 = 912 + 26 32.2w   =&gt; 26 32.2w = 838   =&gt;32.2w = 32.2   32.2nswer 32.2
<result>A</result>
A total of 24 men and 26 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?