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 replacement is 20 students * average weight = 20 * 45 = 900 kg.

Step 2: The average weight increased by 1.8 kg when one student was replaced, so the new average weight is 45 + 1.8 = 46.8 kg.

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

Step 4: The weight of the new student is the total weight after the replacement minus the total weight before the replacement = 936 kg - 900 kg = 36 kg.

Step 5: But we need to add the weight of the student who was replaced (45 kg) to get the actual weight of the new student = 36 kg + 45 kg = 81 kg.

So, the weight of the new student is 81 kg.

Question

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 replacement is 20 students * average weight = 20 * 45 = 900 kg.

Step 2: The average weight increased by 1.8 kg when one student was replaced, so the new average weight is 45 + 1.8 = 46.8 kg.

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

Step 4: The weight of the new student is the total weight after the replacement minus the total weight before the replacement = 936 kg - 900 kg = 36 kg.

Step 5: But we need to add the weight of the student who was replaced (45 kg) to get the actual weight of the new student = 36 kg + 45 kg = 81 kg.

So, the weight of the new student is 81 kg.

Knowee AI · Accepted Answer

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 replacement is 20 students * average weight = 20 * 45 = 900 kg.

Step 2: The average weight increased by 1.8 kg when one student was replaced, so the new average weight is 45 + 1.8 = 46.8 kg.

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

Step 4: The weight of the new student is the total weight after the replacement minus the total weight before the replacement = 936 kg - 900 kg = 36 kg.

Step 5: But we need to add the weight of the student who was replaced (45 kg) to get the actual weight of the new student = 36 kg + 45 kg = 81 kg.

So, the weight of the new student is 81 kg.

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?Options70 kg81kg63 kg51 kg77 kg

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