A total of 22 men and 28 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? Select:
A) 31 B) 31.5 C) 32.6 D) 32.5 E) 33
Let Aw = average age of women   Average = (Number of men X average age of men + Number of women X average age of women)/total number of people   35 * 50 = 22 * 38 + 28 * Aw   =&gt;1750 = 836 + 28 Aw   =&gt; 28 Aw = 914   =&gt;Aw = 32.6   Answer 32.6
<result>C</result>
A total of 22 men and 28 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?