Suppose among 150 people on a picnic, 90 bring salads or sandwiches, 80 bring sa
ID: 2984681 • Letter: S
Question
Suppose among 150 people on a picnic, 90 bring salads or sandwiches, 80 bring sand- wiches or cheese, 100 bring salads or cheese, 50 bring cheese and either salad or sand- wiches (possibly both), 60 bring at least two foods, and 20 bring all three foods. How many people bring just salads? How many people bring just sandwiches? Suppose among 150 people on a picnic, 90 bring salads or sandwiches, 80 bring sand- wiches or cheese, 100 bring salads or cheese, 50 bring cheese and either salad or sand- wiches (possibly both), 60 bring at least two foods, and 20 bring all three foods. How many people bring just salads? How many people bring just sandwiches?Explanation / Answer
Let people taking only sandwitch be "x"
Let people taking only salad be "y"
Let people taking only cheese be "z"
Now,
90 = x + y
80 = x + z
100 = y + z
solving
x = 35
y = 55
z = 45
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