The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was
Pick one:
A) 162
B) 108
C) 96
D) 54
E) None
Solution: Let the number of students in the classes be 2x, 3x and 4x respectively;   Total students = 2x+3x+4x = 9x.   According to the question,   (2x+12)/(3x+12) 2 +3 +4= 
<gadget id="calculator">2 +3 +4</gadget>
<output>9</output>
9x.   According to the question,   (2x+12)/(3x+12)= 8/11   24x+96 = 22x+132   Or, 2x = 132-96   Or, x = 36/2= 
<gadget id="calculator">36/2</gadget>
<output>18</output>
18   Hence, Original number of students,   9x= 9*18= 
<gadget id="calculator">9*18</gadget>
<output>162</output>
162.   162nswer: Option 162
<result>A</result>
The number of students in 3 classes is in the ratio 2:3:4. If 12 students are increased in each class this ratio changes to 8:11:14. The total number of students in the three classes in the beginning was