18. 14 goats or 6 sheep can graze a field in 40 days, how many days will 12 goats and 14 sheep take to graze the same field ?
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Answer:
4 goats can graze the field in 40 days; so it would take 1 goat 4*40 = 160 days.
So 1 goat grazes 1/160 of the field in 1 day.
It takes 6 sheep to graze the field in 40 days; so it would take 1 sheep 40*6 = 240 days.
So 1 sheep grazes 1/240 of the field in 1 day.
If there are 4 goats and 14 sheep, the fraction of the field grazed in 1 day is
4%2A%281%2F160%29+%2B+14%2A%281%2F240%29+=+12%2F480+%2B+28%2F480+=+40%2F480+=+1%2F12
Therefore it will take 12 days for 4 goats and 14 sheep to graze the field.
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