on december 13, 2007, one chinese yuan was worth 0.14 u.s. dollars. (a) on that date, how many yuan was…

on december 13, 2007, one chinese yuan was worth 0.14 u.s. dollars. (a) on that date, how many yuan was 44.11 dollars worth? round your answer to the nearest hundredth of a yuan. (b) on that date, how many dollars was 178.98 yuan worth? round your answer to the nearest hundredth of a dollar.

on december 13, 2007, one chinese yuan was worth 0.14 u.s. dollars. (a) on that date, how many yuan was 44.11 dollars worth? round your answer to the nearest hundredth of a yuan. (b) on that date, how many dollars was 178.98 yuan worth? round your answer to the nearest hundredth of a dollar.

Answer

Explanation:

Step1: Find yuan - to - dollar exchange rate

Given 1 yuan = 0.14 U.S. dollars.

Step2: Calculate yuan value for 44.11 dollars

We use the formula $y=\frac{d}{r}$, where $d$ is the amount in dollars and $r$ is the exchange rate. Here $d = 44.11$ and $r=0.14$. So $y=\frac{44.11}{0.14}\approx315.07$ yuan.

Step3: Calculate dollar value for 178.98 yuan

We use the formula $d = y\times r$. Here $y = 178.98$ and $r = 0.14$. So $d=178.98\times0.14 = 25.0572\approx25.06$ dollars.

Answer:

(a) 315.07 yuan (b) 25.06 dollars