Question

a farmer has a 420 acre farm, plants 7/12 of it with corn, finds 3/14 of crop bad. how many acres of healthy corn does he have

Answer 1

239.75 acres of corn was good in his fields .

Answer 2

Answer:

$Area \: of \: healthy \:corn \: field =200.35 \: acre$

Step-by-step explanation:

Total farm area = 420 acre

$Corn \: planted \: area = \frac{7}{12}\times total\:area \\=\frac{7}{12}\times 420\\=7\times 35\\=255\: acre$

$Area \: of \: bad \: corn \: field = \frac{3}{14}\: of \: 255$

$= \frac{3}{14}\times 255$

$= \frac{765}{14}\:acre$

$Area \: of \: healthy \:corn \: field = 255-\frac{765}{14}\\=\frac{ 3570-765}{14}\\=\frac{2805}{14}\\=200.35 \: acre$

Therefore,

$Area \: of \: healthy \:corn \: field =200.35 \: acre$

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