Mathematical Transactions: From Goats to Hogs
How did Jonathan trade his goats for hogs?
Jonathan raised 60 goats, then entered into a series of business transactions. He traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. Next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. How many hogs did he get?
Answer:
Jonathan initially had 60 goats, which he traded for 84 sheep. He then traded these 84 sheep for 42 hogs.
Jonathan started with 60 goats and engaged in a series of trading activities to end up with hogs. Initially, he traded his goats for sheep at a rate of 5 goats for 7 sheep. By dividing the number of goats by 5 and then multiplying by 7, he ended up with 84 sheep.
Subsequently, Jonathan exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. After dividing the total number of sheep by 4 and then multiplying by 2, he obtained 42 hogs. This was the final outcome of Jonathan's sequential transactions involving goats, sheep, and hogs.