Out of the total 390 students studying in a college of Arts and Science, boys and girls are in the ratio of 7 : 6 respectively and the number of students studying Arts and Science are in the ratio of 3 : 7 respectively. The boys and girls studying Arts are in the ratio of 4 : 5 respectively. How many boys are studying science?
Options:
A) 52
B) 65
C) 115
D) 158
E) 168
Given, boys and girls are in the ratio of 7 : 6,   So, Number of boys = 7/13 x 390 = 210   Number of girls = 390 - 210= 
<gadget id="calculator">390 - 210</gadget>
<output>180</output>
180   Students studying Arts and Science are in the ratio of 3 : 7,   Number of students studying Arts= 3/10 x 390 = 117   Number of students studying Science = 390 - 117= 
<gadget id="calculator">390 - 117</gadget>
<output>273</output>
273   Also boys and girls studying Arts are in the ratio of 4 : 5,   Number of boys studying arts= 4/9 x 117 = 52   Number of boys studying science = 210 - 52= 
<gadget id="calculator">210 - 52</gadget>
<output>158</output>
158   ANSWER:158
<result>D</result>
Out of the total 390 students studying in a college of Arts and Science, boys and girls are in the ratio of 7 : 6 respectively and the number of students studying Arts and Science are in the ratio of 3 : 7 respectively. The boys and girls studying Arts are in the ratio of 4 : 5 respectively. How many boys are studying science?