Rob is going over his currency exchange receipts from his trip to japan and south korea. when he was in japan, he exchanged us dollars for japanese yen at a rate of 1: 87.441, and when he was in south korea, he exchanged japanese yen for south korean won at a rate of 1: 12.395. to three decimal places, what was the exchange rate of us dollars to south korean won?

1 dolar = 1,083,831 korean won.

Explanation:

If 1 dollar is worth 87,441 Japanese Yen, and if we know the price between the Korean and Japanese currency, we can use this value to calculate the value of the Korean currency in dollars. Just calculate how much of the Korean currency can be bought with 87,441 Jaopanese yen (which equals 1 dollar). The simplest form for this calculation is by a rule of three.

So the question we ask is, if 1 yen is worth 12,395 korean coins, how many korean coins are 87,441 yen worth?

Making the rule of three

1 - 12.395

87.441 - x

Multiplying cross

x = 1,083.831

That means 87,441 Japanese yen are worth 1,083,831 Korean won. Since 1 dollar equals 87,441 Japanese Yen, we have 1 dollar to buy 1,083,831 korean won.