Calculating the Earnings from a Series of Transactions with Livestock

How much money did the man make from the 100 goats?

Can you determine the total earnings from the series of transactions involving goats, sheep, and hogs?

Final answer:

The man made a total of $962.50 from the 100 goats.

To calculate the amount of money the man made from the 100 goats, we need to analyze each step of the series of transactions he engaged in. First, he traded 100 goats for sheep at a rate of 5 goats for 7 sheep. This means that each goat was equivalent to 7/5 sheep.

Next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs weighing 250 lbs. each. This implies that each sheep was equivalent to 1/2 hog.

By calculating the value of each goat in terms of hogs, we find that each goat was equal to 7/10 hog. The man then sold all the hogs at a market price of $55 per 100 lbs. Given that each hog weighed 250 lbs., he earned $137.50 for each hog sold.

To determine the total earnings from the 100 goats, we multiply the number of goats by the value of each goat in terms of hogs. With 100 goats and each goat valued at 7/10 hog, the man made $962.50 from the entire transaction.

These calculations demonstrate the profit generated from the series of livestock transactions that the man undertook. Each step in the process contributed to his final earnings, showcasing the intricacies of managing livestock exchanges for financial gain.