Question

on march 8, 2017, one chinese yuan was worth 0.14 u.s. dollars. (a) on that date, how many yuan was 40.09 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.

Explanation:

Step1: Find yuan - to - dollar conversion for part (a)

Given 1 yuan = 0.14 dollars, to find how many yuan is 40.09 dollars worth, we use the formula $x=\frac{40.09}{0.14}$.

Step2: Calculate the value of x

$x = \frac{40.09}{0.14}\approx286.36$

Step3: Find dollar - to - yuan conversion for part (b)

Given 178.98 yuan = 1 dollar, to find how many dollars 1 yuan is worth, we use the formula $y=\frac{1}{178.98}$.

Step4: Calculate the value of y

$y=\frac{1}{178.98}\approx0.01$

Answer:

(a) 286.36 yuan
(b) 0.01 dollars