Question 8

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Jambmaths question: 

A cinema hall contains a certain number of people. If 22½% are children,47½ %are men and 84 are women, find the number of men in the hall

Option A: 

63

Option B: 

84

Option C: 

113 

Option D: 

133

Jamb Maths Solution: 

$\begin{align}  & \begin{array}{*{35}{l}}   Let\text{ }the\text{ }percentage\text{ }of\text{ }women\text{ }in\text{ }the\text{ }Hall\text{ }bex  \\   The\text{ }total~is  \\\end{array} \\ & 100percent=22\tfrac{1}{2}percent+47\tfrac{1}{2}percent+xpercent \\ & 100percent=70percent+xpercent \\ & xpercent=30percent \\ & That\text{ }is\text{ }30percent\text{ }of\text{ }the\text{ }people\text{ }are\text{ }women. \\ & The\text{ }numbers\text{ }of\text{ }men\text{ }are\frac{84\times 47.5percent}{30percent}=133 \\\end{align}$

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