the total number of students in Class A and B is 96 and the number of students in A is 40% more than that in B. The average weight of the students in B is 50% more than that of the students in A. if the average weight of all the students in A and B taken together is 58kg ,then the average weight of the students and b is......
Answers
Answer:
Average weight of students in class A=46.4
Average students of class B=69.6
Step-by-step explanation:
Let the no.of students in class A be x and no.9f students in class B be y.
x+y=96
5(x+y)=5(96)
5x+5y=480--------☆
x=y+40% of y
x-y=40×y/100
x-y=2y/5
5(x-y)=2y
5x-5y=2y
5x=2y+5y
5x=7y-------♡
Now from ☆ and ♡
7y+5y=480
12y=480
y=480/12
y=40
Substitute y=40 in ♡
5x=7(40)
x=7(40)/5
x=7×8
x=56
Let the average weight of students in class A be p and class B be q
q=p+50% of p
q-p=50×p/100
q-p=p/2
2(q-p)=p
2q-2p=p
2q=p+2p
2q=3p--------◇
(p+q)/Total no.of sections = 58
(p+q)/2=58
2(p+q)=2(58)×2
2p+2q=2×58×2
2p+3p=4×58(From ◇)
5p=232
p=232/5
p=46.4
Substitute p=46.4 in ◇
2q=3(46.4)
q=3×46.4/2
q=3×23.2
q=69.6
HOPE THIS BRING A SMILE IN YOUR FACE
Answer:
72
Step-by-step explanation:
A bit of calculation...thats it...hope it helps