A farmer 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 a rate of 4 sheep for 2 hogs weighing 250 lbs. each. He sold all the hogs at a market price of $55.00 per 100.0 lbs. How much money did he make from the 60 hogs?

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wow super brain teaser gonna take min

Solution:

we are given that

A farmer 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.

since [tex]\frac{60}{5}= 12[/tex]

It mean he get [tex]12*7=84[/tex] ships in exchange.

Next, he exchanged all the sheep for hogs at a a rate of 4 sheep for 2 hogs weighing 250 lbs.

Again [tex]\frac{84}{4}=21[/tex]

It mean he get [tex]21*2=42 [/tex] hogs in exchange.

Each weighing 250 lbs.

So Total weight of 42 hogs[tex]=42*250=10500[/tex] lb

He sold all the hogs at a market price of $55.00 per 100.0 lbs.

Again [tex]\frac{10500}{100}=105[/tex]

So he get [tex]105*55=5775[/tex] $

So total money he made =5775$