base 45
3 15
6 7, 30
8 5 ,37,30
12 3 ,45
16 2,48,45
Homework Egyptian problem
Adam gave Sam 45 dollars to buy groceries. He requires that the number of apples should be three times the number of bananas. The number of bananas should be double the number of oranges. suppose apples cost 2 dollars and bananas cost 1 dollar, and oranges cost 1 dollar, how many of each fruit should he buy? modern solution: let the number of oranges be x. x +2x+6x*2=45 15x=45 x=3 false position method: let x be 2 2+4+6*2*2=30 we need 45, which is 45/30=1+1/2 as big, so x must be 2 times 1+1/2 , which is 2+1=3 check: if x=3, x +2x+6x*2=45
Well done! Lots of interesting ones here.
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