question 48 (2 points) listen in 2010, 5.0 euro purchased 21.7 chinese yuan. at the same exchange rate, how…

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

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

Answer

Answer:

53046.00

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, the exchange rate ( r = \frac{21.7}{5.0} ) Yuan per Euro. Calculating this, ( \frac{21.7}{5.0} = 4.34 ) Yuan per Euro.

Step2: Calculate the Yuan for 11900 Euro

Now, to find out how much Yuan 11900 Euro can purchase, we multiply the amount of Euro (11900) by the exchange rate (4.34 Yuan per Euro). So the amount of Yuan ( A = 11900\times4.34 ). Calculating this, ( 11900\times4.34 = 11900\times(4 + 0.34)=11900\times4+11900\times0.34 = 47600+4046 = 51646 )? Wait, no, wait, let's recalculate ( 21.7\div5 = 4.34 ), then ( 11900\times4.34 ): ( 11900\times4.34 = 11900\times\frac{21.7}{5} ) First, ( 11900\div5 = 2380 ) Then, ( 2380\times21.7 ) Calculate ( 2380\times20 = 47600 ), ( 2380\times1.7 = 4046 ) Adding them together: ( 47600 + 4046 = 51646 )? Wait, that's different from before. Wait, no, 21.7 divided by 5 is 4.34, correct. Then 11900 times 4.34: Let's do 11900 * 4.34: 4.34 * 10000 = 43400 4.34 * 1900 = 4.34*(2000 - 100)=4.342000 - 4.34100 = 8680 - 434 = 8246 Then total is 43400 + 8246 = 51646? Wait, but maybe I made a mistake in the first step. Wait, the problem says 5.0 Euro purchased 21.7 Chinese Yuan. So the exchange 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 = 119004.34. Let's calculate 119004 = 47600, 119000.34 = 11900(0.3 + 0.04)=3570 + 476 = 4046. Then 47600 + 4046 = 51646. Wait, but maybe the exchange rate is 21.7/5 = 4.34, so 119004.34 = 51646.00? Wait, but maybe I miscalculated. Wait, 5 Euro = 21.7 Yuan, so 1 Euro = 21.7/5 = 4.34 Yuan. Then 11900 Euro * 4.34 Yuan/Euro = 119004.34. Let's do 4.34 * 11900: 11900 * 4 = 47600 11900 * 0.3 = 3570 11900 * 0.04 = 476 Now add them: 47600 + 3570 = 51170; 51170 + 476 = 51646. So the answer is 51646.00? Wait, but maybe I made a mistake in the exchange rate. Wait, 5 Euro for 21.7 Yuan, so 1 Euro is 21.7/5 = 4.34 Yuan. Then 11900 * 4.34 = 51646. So the amount of Chinese Yuan is 51646.00 when rounded to two decimal places.