SOLUTION: 36 students took the ACT , with a mean score of 25.5. The boys had a mean score of 23.5 , while the girls had a mean score of 28. How many girls were in the group? Thank you fo

Algebra ->  Probability-and-statistics -> SOLUTION: 36 students took the ACT , with a mean score of 25.5. The boys had a mean score of 23.5 , while the girls had a mean score of 28. How many girls were in the group? Thank you fo      Log On


   

Question 1128134: 36 students took the ACT , with a mean score of 25.5. The boys had a mean score of 23.5 , while the girls had a mean score of 28. How many girls were in the group?
Thank you for your help
Answer by stanbon(75887) About Me  (Show Source):
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36 students took the ACT , with a mean score of 25.5. The boys had a mean score of 23.5 , while the girls had a mean score of 28. How many girls were in the group?
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Total of scores of the 36 students:: 25.5*36 = 918
Total of boys scores:: 23.5B
Total of girls scores:: 28G
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Equations::
B + G = 36
23.5B + 28G = 918
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Modify to solve for "B::
28B + 28G = 28*36
23.5B+28G = 918
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Subtract and solve for "B"
4.5B = 90
B = 20 (# of boys)
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Answer:: G = 36-B = 16 (# of girls)
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Cheers,
Stan H.
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