SOLUTION: the average score of boys in an examination of school is 71 and that of girls is 73.the average score of the school is 71.8.find the ratio of number of boys to the number of girls

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Question 461892: the average score of boys in an examination of school is 71 and that of girls is 73.the average score of the school is 71.8.find the ratio of number of boys to the number of girls in the examination.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let b = # of boys in the school that took the exam,
g = of girls in the school that took the exam.
==> The number of students that took the exam is b + g.
Then the sum of all the scores for the boys that took the exam is 71b, while the sum of all the scores for the girls that took the exam is 73g.
==> 71b + 73g is the sum of all scores of the students that took the exam.
By the given, %2871b+%2B+73g%29%2F%28b+%2B+g%29+=+71.8,
or 71b+%2B+73g+=+71.8b+%2B+71.8g, or 1.2g+=+0.8b, or b%2Fg+=+1.2%2F0.8+=+1.5.