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Farmyard Pandemonium - a logic problem by Shelly Hazard
Jake Farmer woke up one morning to pandemonium in his barnyard. The
gate had been left open and the animals had wandered out during the night.
When he looked out the window, he could see the chickens and the sheep. By
the time he got downstairs he could see the goats, too. But he had to hunt
for the cows and the horses. After an hour of running around, Jake finally
got all his animals back in their pens. Using the clues below, determine
how many of each animal the farmer had to find, what kind of mischief each
type of animal got into, and how long it took the farmer to return each
group of animals to their pens.
- The animals running loose on the neighbor’s lawn were not the goats.
- The twelve chickens, who were not eating Jake’s vegetable garden,
took the most time to return to their pen.
- Jake had five of one type of animal; he had an even number of all
the other animals.
- The animals he had the least number of were the ones found in the
grain room. The animals he had the most of took him twenty minutes to
catch.
- The animals Jake had only two of took five minutes to catch while
the animals he had six of took twice as long to catch.
- Jake had six more chickens than goats but two more goats than sheep.
- It took five minutes more to catch the horses than it took to catch
the animals in the hay field but getting the horses took five minutes
less than collecting the animals scattered around the barnyard.
- It took Jake the same amount of time to collect the four animals in
the hay field as it did to collect the goats.
ANIMAL |
Number of animals |
Animals' location |
time |
CHICKENS |
xxx |
xxx |
xxx |
COWS |
xxx |
xxx |
xxx |
GOATS |
xxx |
xxx |
xxx |
HORSES |
xxx |
xxx |
xxx |
SHEEP |
xxx |
xxx |
xxx |
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