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27 students in all 4:5 packed lunch. how many students packed lunch

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\bf \stackrel{total}{27}\qquad 4:5\qquad \cfrac{4}{5}\implies \cfrac{4\cdot (27)/(4+5)}{5\cdot (27)/(4+5)}\implies \cfrac{4\cdot 3}{5\cdot 3}\implies \cfrac{\stackrel{packed~lunch}{12}}{\stackrel{did~not~pack~lunch}{15}}
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