SOLUTION: The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is unacceptable.

Algebra ->  Statistics  -> Describing-distributions-with-numbers -> SOLUTION: The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is unacceptable.       Log On


   



Question 929099: The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is unacceptable.
Found 2 solutions by richard1234, TimothyLamb:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Sum of first 4 numbers = 4*5 = 20
Sum of other three numbers = 3*12 = 36
Sum of all seven numbers = 20+36 = 56
Mean of the seven numbers = 56/7 = 8

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = sum of the four numbers
y = sum of the three numbers
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x/4 = 5
y/3 = 12
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x = 5*4
y = 12*3
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x = 20
y = 36
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(x + y)/7
(20 + 36)/7
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answer:
8
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