SOLUTION: If 4 goats or 6sheep can graze a field in 40 days how many days will 4goats and 14sheep take to graze the same field

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Question 1101825: If 4 goats or 6sheep can graze a field in 40 days how many days will 4goats and 14sheep take to graze the same field






Found 3 solutions by josgarithmetic, greenestamps, Alan3354:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
insufficient

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The given information is NOT insufficient, as the other tutor said....

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.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I was gonna do this one.
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the "or" is easy to overlook.