Question 700946: The integers y and z are positive. A group of y juniors and z seniors took a test. The average (arithmetic mean) score of the juniors was 75, the average score of the seniors was 87, and the average score of all the juniors and seniors combined was 84.
Find the value of X and Y
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The integers y and z are positive. A group of y juniors and z seniors took a test. The average (arithmetic mean) score of the juniors was 75, the average score of the seniors was 87, and the average score of all the juniors and seniors combined was 84.
Find the value of X and Y
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Sum of Junior scores: 75y
Sum of Senior scores: 87x
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Sum of combined scores: 84(x+y)
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Equation:
75x + 87y = 84x+84y
3y = 7x
y = (7/3)x
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If # of seniors is 3, number of juniors is 7
If # = seniors is 6, number of juniots is 14
etc.
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Cheers,
Stan H.
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