Posted By: CanukDenis
Wild potatoes - 05/16/13 05:41 PM
Art, Ben and Cam rented a cabin in some forest.
All 3 left early one morning each with a potato
sack, and went looking for wild potatoes.
They got back to the cabin during the evening,
placed their sacks against a kitchen wall, and,
tired, all went to bed for the sleep of the unjust.
During the evening, the following events took place:
1: Art got up, tiptoed to the kitchen, took 1/5
of the potatoes in Ben's sack and 1/4 of the
potatoes in Cam's sack, put 'em in his sack, then
went back to bed.
2: later, Ben got up, tiptoed to the kitchen, took
1/3 of the potatoes left in Art's sack and 1/3 of
the potatoes left in Cam's sack, put 'em in his
sack, then went back to bed.
3: later, Cam got up, tiptoed to the kitchen, took
1/7 of the potatoes left in Art's sack and 1/5 of
the potatoes left in Ben's sack, put 'em in his
sack, then went back to bed.
After a careful investigation, following was discovered:
1: total wild potatoes originally picked = 205
2: Art ended up with 6 times the potatoes that Cam originally picked
3: Ben ended up with 60 fewer potatoes than he originally picked
Your mission: figure out how many each guy picked.
All 3 left early one morning each with a potato
sack, and went looking for wild potatoes.
They got back to the cabin during the evening,
placed their sacks against a kitchen wall, and,
tired, all went to bed for the sleep of the unjust.
During the evening, the following events took place:
1: Art got up, tiptoed to the kitchen, took 1/5
of the potatoes in Ben's sack and 1/4 of the
potatoes in Cam's sack, put 'em in his sack, then
went back to bed.
2: later, Ben got up, tiptoed to the kitchen, took
1/3 of the potatoes left in Art's sack and 1/3 of
the potatoes left in Cam's sack, put 'em in his
sack, then went back to bed.
3: later, Cam got up, tiptoed to the kitchen, took
1/7 of the potatoes left in Art's sack and 1/5 of
the potatoes left in Ben's sack, put 'em in his
sack, then went back to bed.
After a careful investigation, following was discovered:
1: total wild potatoes originally picked = 205
2: Art ended up with 6 times the potatoes that Cam originally picked
3: Ben ended up with 60 fewer potatoes than he originally picked
Your mission: figure out how many each guy picked.