Answer: [tex]159.41[/tex] American dollars.
Step-by-step explanation:
Let be "x" the amount of American dollars that Tj spent on his vacation in Montreal.
According to the information provided in the exercise, you know that 1 Canadian dollar is equal to $0.76 of an American dollar.
Then, knowing that the amount of Canadian dollars he spent on dinner was $209.75, you can set up the following proportion:
[tex]\frac{1}{0.76}=\frac{209.75}{x}[/tex]
Finally, you can solve for "x" in order to find its value.
You get that this is:
[tex](x)(\frac{1}{0.76})=209.75\\\\x=(209.75)(0.76)\\\\x=159.41[/tex]