Three Brothers on a Farm

Three brothers live in a farm. They agreed to buy new seeds: Adam and Ben would go and Charlie stayed to protect fields. Ben bought 75 sacks of wheat in the market whereas Adam bought 45 sacks. At home, they split the sacks equally. Charlie had paid 1400 dollars for the wheat.

How much dollars did Ben and Adam get of the sum, considering equal split of the sacks?

2 guesses to Three Brothers on a Farm

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• Punit Agrawal

Let us assume the three guys are A,B and C.
A total of 120 sacks of wheat are bought. They are divided equally. Thus everyone gets 40 sacks each. 1400 is paid for 40 sacks. Thus 35 is paid for 1 sack. A gets 5×35 as he has forgone only 5 sacks, whereas B gets 35×35.

• Punit, you are today’s winner!
Every farmer’s part is 1/3(45+75) = 40 sacks. Charlie paid \$1400 for 40 sacks, then 1 sack costs \$1400/40 = \$35/sack. Adam got \$35*(45-40)=35*5 = \$175. Ben got \$35*(75-40)=35*35 = \$1225. Answer: Ben \$1225, Adam \$175