In a military camp,50 officers had a choice of beans,24 plantain and 18 rice. Also 3 chose beans only, 9 plantain only,2 rice only and 5 chose all three kinds of food.a, illustrate the information on a Venn diagram.
B.use the Venn diagram to find the number of Officers who chose.
i.plantain and beans only.
ii.exactly two kinds of food.
iii.none of the three kinds of food .
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Answer
Filled in the given information on a Venn diagram, and was left with these
unknows:
the number for Beans and Plantain, but not rice
the number for Beans and Rice, but not Plantain
then number for Plantain and Rice but not Beans
I labeled these a, b, and c respectively, giving me these equations:
a+b+8 = 50 ---> a+b = 42 **
a+c+14 = 24 ---> a+c = 10 ***
b+c+7 = 18 ---> b+c = 11 ****
subtract *** from **
b - c = 26
add this to ****
2b = 44
b = 22 , then a = 20 and c = -10 <---- this makes no sens
Either there is a flaw in the data given, or else I did not interpret the
question correctly.
e.g.
did you mean: "In a military camp of 50 officers..." ?
then you should not have had that comma.
Look carefully at the wording.
unknows:
the number for Beans and Plantain, but not rice
the number for Beans and Rice, but not Plantain
then number for Plantain and Rice but not Beans
I labeled these a, b, and c respectively, giving me these equations:
a+b+8 = 50 ---> a+b = 42 **
a+c+14 = 24 ---> a+c = 10 ***
b+c+7 = 18 ---> b+c = 11 ****
subtract *** from **
b - c = 26
add this to ****
2b = 44
b = 22 , then a = 20 and c = -10 <---- this makes no sens
Either there is a flaw in the data given, or else I did not interpret the
question correctly.
e.g.
did you mean: "In a military camp of 50 officers..." ?
then you should not have had that comma.
Look carefully at the wording.
Hamidu, there are no automatic answers here. Learn to post questions and then have patience until a tutor helps you.