The average age of boys and girls in a class is 10.5 years; that of the boys is 10.6 years and that of the girls is 10.1 years. if there are 60 boys in the class, how many girls are there in the class?
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if 60 boys are their in class then 10 girls are their in class
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Answer:
let the number of girls be x
Number of boys = 60
Total students = x+60
Average age of class = 10.5
The total age of the class = 10.5(x+60)
..
Average age of girls = 10.1
total age of girls = 10.1x
..
Average age of boys = 10.6
Number of boys = 60
Total age of boys = 10.6*60= 636 years
..
Total age of girls + total age of boys = Total age of class
10.1x+636=10.5(x+60)
10.1x +636=10.5x + 630
10.5x-10.1x = 636-630
0.4x= 6
x= 6/0.4
Multiply by 10 and divide by 10
x=60/4
x=15 girls
Step-by-step explanation:
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