Question

A white-tailed dmitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

Answer 1

Mitchell has 175 US dollars remaining after exchanging 150 US dollars for Canadian dollars, spending 20 Canadian dollars, and converting the remaining amount back to US dollars.

Step-by-step explanation:

Mitchell initially exchanges 150 US dollars for Canadian dollars. Let's denote this as X. Upon spending 20 Canadian dollars, he has(X - 20) Canadian dollars remaining. When he returns to the US and exchanges the remaining Canadian dollars back to US dollars, the exchange rate must be considered. Assuming the exchange rate is Y Canadian dollars to 1 US dollar, Mitchell would receive (X - 20/Y) US dollars. Given the initial exchange rate, we can express Y as 2/3. Therefore, the final amount in US dollars, denoted as Z, can be calculated as:

Z = (X - 20)/ (2/3)

Simplifying the expression:

Z = (X - 20) x (3/2)

Now substitute the initial amount (X = 150) into the equation:

Z = (150 - 20) x (3/2)

Z = 130 x (3/2)

Z = 195

Therefore, Mitchell has 195 US dollars in total. To find the remaining amount, subtract the amount spent (20 Canadian dollars) from the total:

Remaining amount= 195 - 20 = 175