SOLUTION: At a luncheon for 37 eminent people 25 requested for fried rice,15 requested for salad while 20 requested for shredded beef. 7 people requested for fried rice and salad,13 people r
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Question 1185413: At a luncheon for 37 eminent people 25 requested for fried rice,15 requested for salad while 20 requested for shredded beef. 7 people requested for fried rice and salad,13 people requested for fried rice and shredded beef, and 8 people requested for salad and shredded beef, also 10 people requested for fried rice only, 5 people requested for salad only, find the number of people that requested for two different dishes Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52893) (Show Source):
Let x be the number who requested all three items.
Since 7 ordered fried rice and salad, the number who ordered fried rice and salad but not shredded beef was 7-x; similarly, since 8 ordered shredded beef and salad, the number who ordered salad and shredded beef but not fried rice was 8-x.
And 5 people ordered salad only.
Then the total number who ordered salad was x (all three items), plus (7-x) (fried rice and salad), plus (8-x) (salad and shredded beef), plus 5 (salad only).
But the total number who ordered salad was 15:
Now you have all the information you need to get the answer.
fried rice and salad only: 7-x = 7-5 = 2
salad and shredded beef only: 8-x = 8-5 = 3
fried rice and shredded beef only: 13-x = 8
Total who ordered two different dishes: 2+3+8 = 13.
