The average weight of students in a class of 35 students is 40kg. If the weight of the teacher is included, then the average rises by (1/3)kg. The weight of the teacher is

Question

The average weight of students in a class of 35 students is 40kg. If the weight of the teacher is included, then the average rises by (1/3)kg. The weight of the teacher is (A) 40.5 kg (B) 50 kg (C) 41 kg (D) 52 kg

Tardigrade Admin · Accepted Answer

Let, the weight of the teacher be w kg, then 40+(1/3)=(35 × 40 + w/35 + 1) ⇒ 36× 40+36× (1/3)=35× 40+w⇒ w=52 ∴ Weight of the teacher =52 kg.

Q. The average weight of students in a class of $35$ students is $40 k g .$ If the weight of the teacher is included, then the average rises by $\frac{1}{3} k g .$ The weight of the teacher is

$40.5 k g$

$50 k g$

$41 k g$

$52 k g$

Let, the weight of the teacher be $w$ $k g,$ then
$40 + \frac{1}{3} = \frac{35 \times 40 + w}{35 + 1}$
$\Rightarrow 36 \times 40 + 36 \times \frac{1}{3} = 35 \times 40 + w \Rightarrow w = 52$
$∴$ Weight of the teacher $= 52 k g .$

Q. The average weight of students in a class of 35 students is 40kg. If the weight of the teacher is included, then the average rises by 31​kg. The weight of the teacher is

40.5kg

50kg

41kg

52kg