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carterhoward
30.10.2019 •
Mathematics
Mrs. decker saw three witches land in a field where they found a pile of pumpkins and a ghost. they agree to sleep overnight in the field and divide up the pile of pumpkins in the morning. during the night, one witch wakes up, gives one pumpkin to the ghost, takes exactly 1/3 of the rest of the pumpkins and falls back asleep. then second witch wakes up and does the same thing. later, the third witch wakes up and does the same. in the morning there are fewer than 10 pumpkins left. they each take 1/3. how many pumpkins were there in the original pile?
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Ответ:
First witch took
The number of pumpkins remained
Second witch took
The number of pumpkins remained
Third witch took
Ghost took 3 pumpkins. The number of pumpkins remained is 3,6 or 9.
Solve equation for each case.
1)
2)
3)
Only equation 2) has a solution which is a whole number: 25
The total number of pumpkins is 25.
Ответ:
(2a-1)(2a+1)