In a class of 27 student at least one of the student do chemistry and biology offer chemistry while 18 do biology find :those who offer biology only, those who offer chemistry only, those who offer both subject
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27-18... idk what grade this is so it is most likely wrong
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Draw a Venn diagram.
Some do ONLY chem
Some do ONLY bio
some do both.
the sum of only bio and only chem and both is 27
You do not give enough data to solve.
if 18 do ONLY bio, then 9 do either chem only or both
IF ONLY ONE does both
then 9 - 1 = 8 does ONLY Chem
To find the number of students who offer biology only, who offer chemistry only, and who offer both subjects, we can use a technique called Venn diagrams.
Step 1: Start by drawing two overlapping circles to represent the subjects, biology and chemistry.
Step 2: Label one circle as "B" for biology and the other as "C" for chemistry.
Step 3: We know that at least one student does chemistry, so let's place a number in the overlapping region of the circles; let's say there is 1 student who does both.
Step 4: We are given that 18 students do biology, so place the number 18 in the "B" circle.
Step 5: Now, since the total number of students in the class is 27, we can fill in the remaining numbers in the diagram:
- The total number of students who do chemistry (including those who also do biology) is 27.
- The total number of students who do biology only is 18.
- The total number of students who do chemistry only is the difference between the total number of students who do chemistry and those who do both.
Step 6: Calculate the number of students who do chemistry only by subtracting the number of students who do both (1 in this case) from the total number of students who do chemistry (27):
- Chemistry only = Total chemistry students - Students who do both = 27 - 1 = 26.
Step 7: Finally, to determine the number of students who do biology only, subtract the number of students who do both (1) from the total number of biology students (18):
- Biology only = Total biology students - Students who do both = 18 - 1 = 17.
Therefore, based on the information given:
- The number of students who offer biology only is 17.
- The number of students who offer chemistry only is 26.
- The number of students who offer both subjects is 1.