Question

question 48 (2 points) listen in 2010, 5.0 euro purchased 21.7 chinese yuan. at the same exchange rate, how much chinese yuan can 11,900 euro purchase? round your answer in 2 decimals your answer: answer

Explanation:

Step1: Find the exchange rate per Euro

First, we know that 5.0 Euro can purchase 21.7 Chinese Yuan. So the exchange rate (Yuan per Euro) is calculated by dividing the amount of Yuan by the amount of Euro. That is $\frac{21.7}{5.0}$ = 4.34 Yuan per Euro.

Step2: Calculate the Yuan for 11,900 Euro

Now, to find out how much Yuan 11,900 Euro can purchase, we multiply the amount of Euro by the exchange rate. So 11900 4.34 = 51646? Wait, no, wait. Wait, 21.7 divided by 5 is 4.34? Wait 54 = 20, 54.34 = 21.7, yes. Then 11900 4.34. Let's calculate that. 11900 4 = 47600, 11900 0.34 = 11900 0.3 + 11900 0.04 = 3570 + 476 = 4046. Then total is 47600 + 4046 = 51646? Wait, but maybe I made a mistake. Wait the problem says 5.0 Euro purchased 21.7 Yuan. So the rate is 21.7 Yuan per 5 Euro, so per Euro it's 21.7 / 5 = 4.34 Yuan per Euro. Then 11900 Euro 4.34 Yuan/Euro = 11900 4.34. Let's do 11900 * 4.34:

11900 4.34 = 11900 (4 + 0.3 + 0.04) = 119004 + 119000.3 + 119000.04 = 47600 + 3570 + 476 = 47600 + 3570 is 51170, plus 476 is 51646. Wait, but maybe the exchange rate is Yuan per Euro, so 5 Euro = 21.7 Yuan, so 1 Euro = 21.7/5 = 4.34 Yuan. Then 11900 Euro 4.34 Yuan/Euro = 51646.00? Wait, but maybe I miscalculated. Wait 21.7 divided by 5 is 4.34, correct. Then 11900 4.34: let's do 4.34 11900. 11900 4 = 47600, 11900 0.34 = 11900 34 / 100 = (11900 34)/100. 11900 34: 1200034 = 408000, minus 10034 = 3400, so 408000 - 3400 = 404600. Then divide by 100: 4046. So total is 47600 + 4046 = 51646. So the answer is 51646.00? Wait, but maybe I made a mistake in the exchange rate. Wait the problem says "5.0 Euro purchased 21.7 Chinese Yuan". So the rate is 21.7 Yuan per 5 Euro, so to get Yuan for 11900 Euro, we can set up a proportion: 5 Euro / 21.7 Yuan = 11900 Euro / x Yuan. Then cross - multiply: 5x = 21.7 11900. Then x=(21.7 11900)/5. Let's calculate that. 21.7 11900 = 21.7 10000+21.7 1900 = 217000+41230 = 258230. Then divide by 5: 258230 / 5 = 51646. So the answer is 51646.00 when rounded to two decimals.

Answer:

51946.00