SOLUTION: A class of 24 students have an average test score of 92. A second class averaged 82. If both classes are combined, the average on the test is 88. How many students are in the seco

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Question 787488: A class of 24 students have an average test score of 92. A second class averaged 82. If both classes are combined, the average on the test is 88. How many students are in the second class?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A class of 24 students have an average test score of 92. A second class averaged 82. If both classes are combined, the average on the test is 88. How many students are in the second class?
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1st class has 24*92 = 2208 points
2nd class has 82x points (x is the # of students in that class)
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The combined classes have 88(24+x) points
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Equation:
2208 + 82x = 88(24+x)
2208 + 82x = 88*24 + 88x
6x = 2208-88*24
6x = 96
x = 16 (# of students in the 2nd class)
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Cheers,
Stan H.
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