Question

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

1 European euro = 1.3687 US dollars

Answer 1

Step-by-step explanation:

This is a dimensional analysis question.

So, when he converts his US dollars to Euros at a rate of 1 euro per 1.3687 US dollars, he gets:

\frac{1 \text{ euro}}{1.3687 \text{ dollars}}*250\text{ dollars}=182.655074 \text{ euros} \approx 182.66\text{ euros}1.3687 dollars1 euro∗250 dollars=182.655074 euros≈182.66 euros

He spends 150 euros so he has 32.66 euros at the end of his trip. To convert it back he does:

\frac{1.3687 \text{ dollars}}{\text{1 euro}}*32.66\text{ euros}=44.701742\text{ dollars} \approx 44.70\text{ dollars}1 euro1.3687 dollars∗32.66 euros=44.701742 dollars

Answer 2

Answer:

$44.70

Step-by-step explanation:

Initial amount- $250

Initial amount in euro =$250/1.3687= €182.66

Remaining money in euro = €182.66 -150=€32.66

Remaining money in USD = €32.66*1.3687= $44.70

Answer: Phelan has now $44.70 remaining