Question

question 50 (2 points) listen in 2010, 2.5 u.s. dollar purchased 15.4 chinese yuan. at the same exchange rate, how much u.s. dollar can 4,100 chinese yuan purchase? round your answer in 2 decimals your answer: answer

Explanation:

Step1: Find the exchange rate per Yuan

First, we know that 2.5 U.S. Dollars can buy 15.4 Chinese Yuan. So to find out how many U.S. Dollars one Chinese Yuan can buy, we divide the amount of U.S. Dollars by the amount of Chinese Yuan. That is, the exchange rate \( r=\frac{2.5}{15.4}\) U.S. Dollars per Chinese Yuan.

Step2: Calculate for 4100 Yuan

Now, to find out how many U.S. Dollars 4100 Chinese Yuan can buy, we multiply the number of Yuan (4100) by the exchange rate \( r\). So the amount of U.S. Dollars \( A = 4100\times\frac{2.5}{15.4}\)
First, calculate \( 4100\times2.5 = 10250\)
Then, divide by 15.4: \( \frac{10250}{15.4}\approx660.42\) (rounded to two decimal places)

Answer:

660.42