Discussion
The average weight of 35 students in a class is 66 kg. Six students of average weight 58.5 kg leave the class and 11 students of average weight 68 kg join the class. What is the average weight (in kg) of the students in the class now?
Answer: C
The new average weight is 67.675 kg. The total weight of the 35 students is 35 x 66 = 2310 kg. When six students of average 58.5 kg leave, 351 kg goes out, and when eleven students of average 68 kg join, 748 kg comes in. The class then has 35 - 6 + 11 = 40 students.
\[ \text{Total} = 2310 - 351 + 748 = 2707 \text{ kg} \]
\[ \text{Average} = \frac{2707}{40} = 67.675 \text{ kg} \]
The options 66.375, 66.5 and 68.5 do not equal 2707 divided by 40, so the third option is the answer. As a check, 40 students at 67.675 kg each weigh 2707 kg, which is the total found above.
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