The 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?Options77 kg70 kg81kg51 kg63 kg
Question
The 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?Options77 kg70 kg81kg51 kg63 kg
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 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.
So, the new student weighs 45 kg (the weight of the student who left) + 36 kg = 81 kg.
Therefore, the weight of the new student is 81 kg.
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