In a colony of 70 residents, the ratio of the number of men and women is 5 : 2. 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?
Choose the correct choice from the following options.
A) A)1:4
B) B)1:1
C) C)1:8
D) D)1:9
E) E)1:3
Number of men in the colony = 5/7 * 70= 
<gadget id="calculator">5/7 * 70</gadget>
<output>50</output>
50.   Number of women in the colony= 2/7 * 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= 50 - 10= 
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
40.   Number of educated men and uneducated men are in the ratio 10 : 40 i.e., 1:4.   1:4nswer:1:4
<result>A</result>
In a colony of 70 residents, the ratio of the number of men and women is 5 : 2. 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?