SOLUTION: Jonathan raised six goats then entered into a series of business transaction he traded all goats for sheep at an exchange rate of five goats for seven sheep next he exchanged all t

Question 893746: Jonathan raised six goats then entered into a series of business transaction he traded all goats for sheep at an exchange rate of five goats for seven sheep next he exchanged all the sheep for hogs at a rate of four sheep for 2 hogs how many hogs did he get?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
he exchanges all the goats for sheep at the exchange rate of 7 sheep for every 5 goats.

he now has 8.4 sheep because 7/5 * 6 = 8.4.

he exchanges all the sheep for hogs at the exchange rate of 2 hogs for every 4 sheep.

he now has 4.2 hogs because 2/4 * 8.4 = 4.2.

this is not very realistic but that's the way the ratios work.

the overall ratio of hogs to goats would be equal to 7/5 * 2/4 = 14/20 = 7/10 hogs per goat.

if he trades his goats for hogs directly, he will get 7/10 * 6 = 42/10 = 4.2 hogs.

the numbers check out but, once again, they're not very realistic because how do you trade part of a goat or a sheep to get part of a sheep or a hog?

if that was real life, he would have traded 5 of his goats for 7 sheep and then traded 6 of the sheep for 3 hogs.

he would have ended up with 1 goat, 1 sheep, and 3 hogs.

how many hogs is this equivalent to?

let's see.

1 goat is equal to 7/10 of a hog.
1 sheep is equal to 2/4 of a hog.
the equivalent number of hogs would be:

.7 + .5 + 3 = 4.2 hog equivalents.

numbers check out again.

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