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Select the correct answerThe average weight of 20 students in aclass is increased by 1.8kg when one of the students, who weights 45kg is replaced by a new student. What is the weight of the new student?Options81kg51 kg63 kg77 kg70 kg

Question

Select the correct answerThe average weight of 20 students in aclass is increased by 1.8kg when one of the students, who weights 45kg is replaced by a new student. What is the weight of the new student?Options81kg51 kg63 kg77 kg70 kg

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Solution

To solve this problem, we need to understand that the average is the total weight divided by the number of students.

Step 1: The total weight of the 20 students before the new student arrived was 20 * average weight = 20 * 45 = 900 kg.

Step 2: The average weight increased by 1.8 kg when the new student replaced one of the original students. So, the new average weight is 45 + 1.8 = 46.8 kg.

Step 3: The total weight of the 20 students after the new student arrived is 20 * new average weight = 20 * 46.8 = 936 kg.

Step 4: The weight of the new student is the total weight after he arrived minus the total weight before he arrived plus the weight of the student he replaced. So, the new student's weight is 936 - 900 + 45 = 81 kg.

So, the correct answer is 81 kg.

This problem has been solved

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