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Question Number 64522 by necx1 last updated on 18/Jul/19

In a hospital, Dr Steve has worked  more night shifts than Dr Gregg who  has worked five night shifts. Dr Okon  has worked 15 night shifts more than  Dr Steve and Dr Gregg combined.  Dr. Uche has worked eight night shifts  less than Dr Steve.How many night  shifts has Dr. Steve worked?  a)10 b)9 c)8 d)7

$${In}\:{a}\:{hospital},\:{Dr}\:{Steve}\:{has}\:{worked} \\ $$$${more}\:{night}\:{shifts}\:{than}\:{Dr}\:{Gregg}\:{who} \\ $$$${has}\:{worked}\:{five}\:{night}\:{shifts}.\:{Dr}\:{Okon} \\ $$$${has}\:{worked}\:\mathrm{15}\:{night}\:{shifts}\:{more}\:{than} \\ $$$${Dr}\:{Steve}\:{and}\:{Dr}\:{Gregg}\:{combined}. \\ $$$${Dr}.\:{Uche}\:{has}\:{worked}\:{eight}\:{night}\:{shifts} \\ $$$${less}\:{than}\:{Dr}\:{Steve}.{How}\:{many}\:{night} \\ $$$${shifts}\:{has}\:{Dr}.\:{Steve}\:{worked}? \\ $$$$\left.{a}\left.\right)\left.\mathrm{1}\left.\mathrm{0}\:{b}\right)\mathrm{9}\:{c}\right)\mathrm{8}\:{d}\right)\mathrm{7} \\ $$

Answered by MJS last updated on 19/Jul/19

S=x>5  G=5  O=15+5+x=20+x  U=x−8 ⇒ 5<x≤8  more info required

$${S}={x}>\mathrm{5} \\ $$$${G}=\mathrm{5} \\ $$$${O}=\mathrm{15}+\mathrm{5}+{x}=\mathrm{20}+{x} \\ $$$${U}={x}−\mathrm{8}\:\Rightarrow\:\mathrm{5}<{x}\leqslant\mathrm{8} \\ $$$$\mathrm{more}\:\mathrm{info}\:\mathrm{required} \\ $$

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