In-a-recent-pool-of-500-men-and-500-women-it-was-observed-that-a-total-of-650-were-married-of-those-married-275-were-men-and-500-claimed-to-be-happy-out-of-750-who-claimed-to-be-happy-400-were-men-of

Question Number 33513 by mondodotto@gmail.com last updated on 18/Apr/18

$$\boldsymbol{\mathrm{In}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{recent}}\:\boldsymbol{\mathrm{pool}}\:\boldsymbol{\mathrm{of}}\:\mathrm{500}\:\boldsymbol{\mathrm{men}}\:\boldsymbol{\mathrm{and}}\:\mathrm{500}\:\boldsymbol{\mathrm{women}} \\ $$$$\boldsymbol{\mathrm{it}}\:\boldsymbol{\mathrm{was}}\:\boldsymbol{\mathrm{observed}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{total}}\:\boldsymbol{\mathrm{of}}\:\mathrm{650}\:\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{married}}. \\ $$$$\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{those}}\:\boldsymbol{\mathrm{married}}\:\mathrm{275}\:\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{men}}\:\boldsymbol{\mathrm{and}}\:\mathrm{500} \\ $$$$\boldsymbol{\mathrm{claimed}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{be}}\:\boldsymbol{\mathrm{happy}}.\boldsymbol{\mathrm{out}}\:\boldsymbol{\mathrm{of}}\:\mathrm{750}\:\boldsymbol{\mathrm{who}}\:\boldsymbol{\mathrm{claimed}} \\ $$$$\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{be}}\:\boldsymbol{\mathrm{happy}},\mathrm{400}\:\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{men}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{which}}\:\mathrm{200} \\ $$$$\boldsymbol{\mathrm{were}}\:\boldsymbol{\mathrm{married}}.\boldsymbol{\mathrm{Represent}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{information}} \\ $$$$\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{venn}}−\boldsymbol{\mathrm{diagram}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}} \\ $$$$\left(\boldsymbol{\mathrm{i}}\right)\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{married}}\:\boldsymbol{\mathrm{who}}\: \\ $$$$\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{unhappy}}. \\ $$$$\left(\boldsymbol{\mathrm{ii}}\right)\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{married}}\:\boldsymbol{\mathrm{who}} \\ $$$$\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{happy}}. \\ $$$$ \\ $$$$ \\ $$

Commented by mondodotto@gmail.com last updated on 18/Apr/18

$$\mathrm{please}\:\mathrm{help} \\ $$

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