Question 266451: In a math class a grade was assigned for a combination of homework and quizzes. A student had an overall homework/quiz average of 84.3. His quiz average was 78 and his homework average was 87. There were a total of 20 homework and quizzes assigned. How many were homework and how many were quizzes?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a math class a grade was assigned for a combination of homework and quizzes. A student had an overall homework/quiz average of 84.3. His quiz average was 78 and his homework average was 87. There were a total of 20 homework and quizzes assigned. How many were homework and how many were quizzes?
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Let h = # of homeworks ; Let q be # of quizzes
Quantity Equation: h + q = 20
Points Equation: 87h + 78q = 84.3*20
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Multiply thru 1st equation by 87 to get:
87h + 87q = 87*20
87h + 78q = 84.3*20
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Subtract 2nd from 1st and solve for "q":
9q = 2.7*20
q = 6 (# of quizzes)
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Since h_+ q = 20, h = 14 (# of homeworks)
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Cheers,
Stan H.
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