document.write( "Question 433374: 69 grew tomatoes 18 grew both tomatoes and cucumbers
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document.write( "25 grew cucumbers 21 grew both tomatoes and zucchini
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document.write( "30 grew zucchini 14 grew both cucumbers and zucchini
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document.write( "12 grew all three types 12 grew none of these three \r
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document.write( "Create a Venn diagram to reflect the above data, label your diagram clearly \n" );
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Algebra.Com's Answer #300432 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! The trick is to find the number in each \n" ); document.write( "separate little area of the 3 interlocking circles \n" ); document.write( "There are 7 of these little areas \n" ); document.write( "The center is the number that grew all 3 types. \n" ); document.write( "-------------- \n" ); document.write( "Label the circles T,C, and Z \n" ); document.write( "T = 69 \n" ); document.write( "C = 25 \n" ); document.write( "Z = 30 \n" ); document.write( "--------- \n" ); document.write( "T and C , but not Z = 18 - 12 \n" ); document.write( "18 - 12 = 6 \n" ); document.write( "--------- \n" ); document.write( "T and Z, but not C = 21 - 12 \n" ); document.write( "21 - 12 = 9 \n" ); document.write( "--------- \n" ); document.write( "C and Z, but not T = 14 - 12 \n" ); document.write( "14 - 12 = 2 \n" ); document.write( "--------- \n" ); document.write( "The fact that 12 grew none of T,C, or Z can \n" ); document.write( "be shown by a circle around the Venn diagram \n" ); document.write( "with a 12 in it \n" ); document.write( "---------- \n" ); document.write( "Those who grew: \n" ); document.write( "Only T = 69 - (6 + 9 + 12) \n" ); document.write( "Only T = 42 \n" ); document.write( "--------- \n" ); document.write( "Only C = 25 -(6 + 2 + 12) \n" ); document.write( "Only C = 5 \n" ); document.write( "--------- \n" ); document.write( "Only Z = 30 -(9 + 2 + 12) \n" ); document.write( "Only Z = 7 \n" ); document.write( "--------- \n" ); document.write( "Any question can now be answered, for instance: \n" ); document.write( "How many growers of T,C, & Z are there? \n" ); document.write( "42 + 5 + 7 + 6 + 9 + 2 + 12 = 83 \n" ); document.write( "How many grew exactly 2 veggies? \n" ); document.write( "6 + 9 + 2 = 17 \n" ); document.write( " |