In a class of 40 students , 3/5 passed in maths while 2/5 passed in English . In which subjects did students do better
Answers
Step-by-step explanation:
Let MO = the number of students who passed ONLY Mathematics, (and did not pass English);
Let EO = the number of students who passed ONLY English, (and did not pass Mathematics);
Let B = the number of students who passed BOTH English and Mathematics.
Let M = the total number of students who passed Mathematics (that is those who passed only Mathematics, plus those who passed both subjects).
Let E = the total number of students who passed English (that is those who passed only English, plus those who passed both subjects).
Then we can write these statements symbolically as follows:
E = EO + B or 34 = EO + B ...............(1)
M = MO + B or 35 = MO + B ................(2).
We add equations (1) and (2) as follows
34 + 35 = (EO + B) + (MO + B)
to obtain:
69 = EO + MO + 2B ..........(3)
Consider the total number of students in class; these are made up of three groups (those who passed only Math, those who passed only English, and those who passed both subjects:
40 = MO + B + EO .............(4)
Subtract (4) from (3) to obtain
69 - 40 = (EO + MO + 2B) - (MO + B + EO)
29 = B
Twenty-nine students passed in both subjects.
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Answer:
of course, the students did well in maths.
now let's keep the total students as 5 itself. here 3 out of 5 passed in maths and only 2 out of 5 passed in English.
now u would itself got the answer correct.
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