In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?  Pick one:
A) 1:6 B) 1:1 C) 1:8 D) 1:9 E) 1:3
Number of men in the colony = 4/7 * 70= 
<gadget id="calculator">4/7 * 70</gadget>
<output>40</output>
40.   Number of women in the colony= 3/7 * 70 = 40.   Number educated women in the colony = 1/5 * 30= 
<gadget id="calculator">1/5 * 30</gadget>
<output>6</output>
6.   Number of uneducated women in the colony= 4/5 * 50 = 24.   Number of educated persons in the colony = 8 /35 * 70= 
<gadget id="calculator">8 /35 * 70</gadget>
<output>16</output>
16.   As 6 females are educated, remaining 10 educated persons must be men.   Number of uneducated men in the colony= 40 - 10= 
<gadget id="calculator">40 - 10</gadget>
<output>30</output>
30.   Number of educated men and uneducated men are in the ratio 10 : 30 i.e., 1:3.   Answer:1:3
<result>E</result>
In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?