The mean mass of four pupils was 49.5 kg. When the masses of another pupil and a teacher were included, the mean mass became 53...

The mean mass of four pupils was 49.5 kg. When the masses of another pupil and a teacher were included, the mean mass became 53 kg. If the mass of the pupil was 16kg less than that of the teacher, what was the teacher’s mass?

A. 44 kg
B. 52 kg
C. 76 kg
D. 68 kg

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The correct answer is [D]

Mean mass = 49.5 kg
Total mass = 4 x 49.5 = 198
The mean of the six = 53
Total mass for the six = 53 x 6 = 318
The mass of the additional pupil and the teacher = 318-198 = 120
If the teacher = x
Pupil = x -16
X + x – 16 = 120

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Wilfykil answered the question on July 31, 2019 at 13:02

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