SOLUTION: In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class? A) 60 B) 70 C

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Question 721137: In a science test, a class of 30 students had an average of 80. The 20 girls in the class had an average of 85. What is the average of the 10 boys in the class?
A) 60
B) 70
C) 80
D) 85
E) 90

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For n scores average=sum%2Fn
For the 20 girls the sum of the scores was sum%5Bg%5D and
85=sum%5Bg%5D%2F20 --> sum%5Bg%5D=85%2A20=1700
For the class, the sum of the 30 scores is sum%5Bc%5D,
and the average is 80=sum%5Bc%5D%2F30 --> sum%5Bc%5D=80%2A30=2400
Since sum%5Bc%5D is the sum of the boys' scores, sum%5Bb%5D ,
plus the sum of the girls' scores
sum%5Bb%5D%2B1700=2400 --> sum%5Bb%5D=2400-1700 --> sum%5Bb%5D=700
The average for the boys is the sum of their scores divided by the number of boys:
700%2F10=highlight%2870%29