Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor a vegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, a vegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?
(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate for non-vegetarians.
(2) 30% of the guests were vegetarian non-students.
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shahdevang87
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From statement A , we get
say no. of veg = 5x
and no of nveg = 7y
no of n.veg non students = 15 (given)
=> 3y = 15 => no. of stud & n.veg = 20
also
5x + 20+15 = 2*5x (given)
=> 5x= 35 => x=7 => 10x = 70 (answer)
say no. of veg = 5x
and no of nveg = 7y
no of n.veg non students = 15 (given)
=> 3y = 15 => no. of stud & n.veg = 20
also
5x + 20+15 = 2*5x (given)
=> 5x= 35 => x=7 => 10x = 70 (answer)
