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A survey of 500 farmers showed that of the farmers, 127 grew only wheat, 112 grew only corn, 92 grew only oats, 202 grew wheat, 63 grew wheat and corn, 46 grew wheat and oats, and 181 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.

A survey of 500 farmers showed that of the farmers, 127 grew only wheat, 112 grew only corn, 92 grew only oats, 202 grew wheat, 63 grew wheat and corn, 46 grew wheat and oats, and 181 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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A survey of 500 farmers showed that of the farmers, 127 grew only wheat, 112 grew only corn, 92 grew only oats, 202 grew wheat, 63 grew wheat and corn, 46 grew wheat and oats, and 181 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.
Transcribed Image Text:A survey of 500 farmers showed that of the farmers, 127 grew only wheat, 112 grew only corn, 92 grew only oats, 202 grew wheat, 63 grew wheat and corn, 46 grew wheat and oats, and 181 grew corn. Determine the number of farmers who a) grew at least one of the three, b) grew all three, c) did not grow any of the three, and d) grew exactly two of the three.
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