The weight of the new student is 27 kg.
Average weight
= total weight ÷total number of students
Let the total weight of the 35 students be y kg and the weight of the new student be x kg.
[tex]45 = \frac{y}{35} [/tex]
y= 35(45)
y= 1575 kg
New total number of students
= 35 +1
= 36
Total weight
= total weight of 35 students +weight of new students
= y +x
[tex]44.5 = \frac{y + x}{36} [/tex]
[tex]44.5 = \frac{1575 + x}{36} [/tex]
36(44.5)= 1575 +x
1602= x +1575
Subtract 1575 from both sides:
x= 1602 -1575
x= 27
Thus, the weight of the new student is 27 kg.
