In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. ON a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and ?->(Show Answer!)

1. In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. ON a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?

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By: anil on 05 May 2019 02.36 am

From the figure, $$a + 22 + 25 = 77$$ => $$a = 77 - 47 = 30$$ Similarly, $$c = 55 - 22 = 33$$ and $$b = 50 - 25 = 25$$ It is given that 40 visitors did not opt for ride A and B, or both => $$b + d = 40$$ => $$d = 40 - 25 = 15$$ $$ herefore$$ Total number of people who visited with the entry pass on that day = $$a + b + c + d + 22 + 25$$ = $$30 + 25 + 33 + 15 + 47 = 150$$

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