In a class of $250$ students, $75.8 %$ took French and $49.4 %$ took Latin. How many students took both French and Latin?

189

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123

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63

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90

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Solution

The correct option is C $63$
French $= 75.8 %$ of $250 = 189.5$
Latin $= 49.4 %$ of $250 = 123.5$
Total $= 250$

Total $=$ French $+$ Latin $- ($ French And Latin $)$
$250 = 189.5 + 123.5 - ($ French And Latin $)$
$($ French And Latin $) = 189.5 + 123.5 - 250 = 63$

Students who took both are $63$ .

Hence, option C.

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In a class of 250 students, 75.8% took French and 49.4% took Latin. How many students took both French and Latin?

The correct option is C 63French =75.8% of 250=189.5Latin =49.4% of 250=123.5Total =250Total = French + Latin −(French And Latin)250=189.5+123.5−(French And Latin)(French And Latin)=189.5+123.5−250=63Students who took both are 63.Hence, option C.

In a class of $250$ students, $75.8 %$ took French and $49.4 %$ took Latin. How many students took both French and Latin?