Find the area the circles whose rafi are given below
Answers
Answer:
AnswEr :
\begin{lgathered}\bold{Given} \begin{cases}\sf{Students=28}\\ \sf{Average=50}\end{cases}\end{lgathered}
Given{
Students=28
Average=50
\begin{lgathered}\bold{New\:Data}\begin{cases}\sf{Students=(28-8)=20} \\ \sf{Average=(50+5)=55}\end{cases}\end{lgathered}
NewData{
Students=(28−8)=20
Average=(50+5)=55
\begin{lgathered}\bold{To\:Find}\begin{cases}\sf{Left \:Students=8} \\ \sf{Average=?}\end{cases}\end{lgathered}
ToFind{
LeftStudents=8
Average=?
• Let's Head to the Question Now :
\implies \tt \underbrace{Total}_{Students\times Average} = \underbrace{New}_{Students \times Average} + \underbrace{Left}_{Students \times Average}⟹
Students×Average
Total
=
Students×Average
New
+
Students×Average
Left
\implies \tt(28 \times 50) = (20 \times 55) + (8\times Average)⟹(28×50)=(20×55)+(8×Average)
\implies \tt1400 =1100+ (8\times Average)⟹1400=1100+(8×Average)
\implies \tt1400 - 1100 = 8\times Average⟹1400−1100=8×Average
\implies \tt300= 8\times Average⟹300=8×Average
\implies \tt \cancel\dfrac{300}{8} = Average⟹
8
300
=Average
\implies \large\boxed{\tt Average = 37.5}⟹
Average=37.5
⠀
∴ Average Marks of left students is 37.5