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prisoha [69]
3 years ago
15

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

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0
\bf \stackrel{total}{27}\qquad 4:5\qquad \cfrac{4}{5}\implies \cfrac{4\cdot \frac{27}{4+5}}{5\cdot \frac{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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<em><u>The area of trapezoid is given as:</u></em>

A = \frac{a+b}{2} \times h

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The length of one base of a trapezoid is 19 less than five times the length of the other base

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<em><u>Substitute the values in above formula</u></em>

477=\frac{5 b-19+b}{2} \times 18\\\\477=(6b-19) \times 9\\\\477 = 54b-171\\\\54b = 648\\\\b=12

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