A student makes the following​ observation: It currently takes 80 yen to buy 1 U.S.​ dollar, which shows that the United States must be a much wealthier country than Japan. But it takes more than 1 U.S. dollar to buy 1 British​ pound, which shows that Great Britain must be a wealthier country than the United States. Do you agree with the​ student's reasoning?​ Why?