Mariam333 Mariam333

16-01-2017
Mathematics

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The average of 8 scores is Q. If the average of 3 of the scores is Z, what is the average of the other 5 scores?

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LammettHash LammettHash

16-01-2017

[tex]\dfrac{s_1+\cdots+s_8}{8}=Q\implies s_1+\cdots+s_8=8Q[/tex]
[tex]\dfrac{s_1+s_2+s_3}{3}=Z\implies s_1+s_2+s_3=3Z[/tex]

Substituting into the first equation, this means

[tex]s_4+\cdots+s_8=8Q-3Z[/tex]

Divide by 5 to get the average:

[tex]\dfrac{s_4+\cdots+s_8}{5}=\dfrac{8Q-3Z}5[/tex]

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