The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is
Question:
The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is
The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is
Options
Answer: 4 : 1
Explanation:
Let original students = n with average A, new students = m with average A+3. New average = A+0.6. Using weighted average: n(A) + m(A+3) = (n+m)(A+0.6). Simplifying: m(3) = (n+m)(0.6), giving 3m = 0.6n + 0.6m, so 2.4m = 0.6n, thus n:m = 4:1.
Explanation:
Let original students = n with average A, new students = m with average A+3. New average = A+0.6. Using weighted average: n(A) + m(A+3) = (n+m)(A+0.6). Simplifying: m(3) = (n+m)(0.6), giving 3m = 0.6n + 0.6m, so 2.4m = 0.6n, thus n:m = 4:1.
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