On a certain plane, 2/5 of the passengers speak Tamil and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?	Choose the correct answer
A) 12  B) 75  C) 80  D) 94  E) 96
Assume the total members = x   Tamil = .4x   Hebrew = .75x   Tamil + Hebrew = 1.15x, but this is not possible hence 15 people speak both languages.   Only Tamil = .25x, Only Hebrew = .6x, both = .15x   Since these are all people, all of these should be whole numbers.   Checking the options:   A. 12. Only Hebrew = 12*0.6= 
<gadget id="calculator">12*0.6</gadget>
<output>7.2</output>
7.2 We do not get the people as whole numbers. INCORRECT   B. 15. Only Tamil= 0.25*15 Again we do not get the people as whole numbers. INCORRECT   C. 80 Only Tamil = .25*80= 
<gadget id="calculator">.25*80</gadget>
<output>20</output>
20, Only Hebrew= .6*80= 
<gadget id="calculator">.6*80</gadget>
<output>48</output>
48, both= .15*80= 
<gadget id="calculator">.15*80</gadget>
<output>12</output>
12. We have the people as whole numbers. CORRECT   D. 94   E.96   Since we have to find the lowest number, no need to calculate for the rest of the options.   80orrect Option: 80
<result>C</result>
On a certain plane, 2/5 of the passengers speak Tamil and 3/4 speak Hebrew. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?