in a grade 7 class, 36 students are either members of the math club or science club or both. 10 students are members of both clubs. if 31 students are members of the math club how many are members of the science club?
m = math only
s = science only
b = both = 10
31 = m + b = m + 10
so
m = 21
s+b = 36 - m
s + 10 = 36 - 21
s + 10 = 15 so = Answer all science students
s = 5 only science
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check
21 + 10 = 31, yes all math students
5 + 10 = 15 , yes all science students
21 + 5 + 10 = 36 = all students
5 +
To find the number of students who are members of the science club, we need to subtract the number of students who are members of both clubs from the total number of students who are members of either club.
Step 1: Add the number of students who are members of both clubs to the number of students who are members of the math club.
10 (students in both clubs) + 31 (students in the math club) = 41
Step 2: Subtract the total from step 1 from the total number of students in the class.
36 (total students in the class) - 41 (students in either club) = -5
Since -5 is not a possible number of students, there may be an error in the given information or calculation. Please double-check the information provided or try another question.
To find the number of students who are members of the science club, we need to subtract the number of students who are only members of the math club from the total number of students who are either members of the math club or science club.
Given that there are 36 students who are either members of the math club or science club or both, and 10 students are members of both clubs, we can represent this information using a Venn diagram.
Let's start by drawing two intersecting circles to represent the math club (M) and the science club (S). The overlapping region represents the students who are members of both clubs.
S
/ \
/ \
M ----- S
We know that there are 31 students who are members of the math club (M). Therefore, we can write this information in the Venn diagram as:
S
/ \
/ \
M(31)----- S
Since 10 students are members of both clubs, we write this information in the overlapping region:
S
/ \
/ 10 \
M(31)----- S
Now, we need to find the number of students who are only members of the science club. To do this, we subtract the number of students who are members of both clubs from the total number of students in the science club.
Total number of students in the science club = Total students - Students in both clubs
Total number of students in the science club = 36 - 10 = 26
Therefore, there are 26 students who are members of the science club.