On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. 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) 15	C) 120	D) 224	E) 240
Assume the total members = x   Farsi = .4x   English= .75x   Farsi + English= 1.15x, but this is not possible hence 15 people speak both languages.   Only Farsi = .25x, Only English= .6x, both = .15x   Since these are all people, all of these should be whole numbers.   Checking the options:   A. 12. Only English= 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 Farsi= 0.25*15 Again we do not get the people as whole numbers. INCORRECT   C. 120 Only Farsi = .25*120= 
<gadget id="calculator">.25*120</gadget>
<output>30</output>
30, Only Hebrew= .6*120= 
<gadget id="calculator">.6*120</gadget>
<output>72</output>
72, both= .15*120= 
<gadget id="calculator">.15*120</gadget>
<output>18</output>
18. We have the people as whole numbers. CORRECT   D. 224   E. 240   Since we have to find the lowest number, no need to calculate for the rest of the options.   120orrect Option: 120
<result>C</result>
On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. 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?