250 dollars euros

Asked by maham237 @ 11/02/2021 in Mathematics viewed by 238 People

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?
1 European euro = 1.3687 US dollars

Answered by maham237 @ 11/02/2021

For this case we make a rule of three to determine the initial amount of euros:

1 euro ----------------> 1.3687 dollars

x ------------------------> 250 dollars

Where "x" represents the amount of euros equivalent to 250 dollars.

$x = \frac {250 * 1} {1.3687}\\x = 182.655074158$

Thus, Phelan received 182.655074158 euros.

If I spend 150 euros, we have:

$182.655074158-150 = 32.655074158$

Now, we make the conversion to know the amount of dollars equivalent:

1 euro ----------------> 1.3687 dollars

32,655074158 ------------------------> y

Where "y" represents the amount of dollars:

$y = \frac {32.655074158 * 1.3687} {1}\\y = 44,695$

So, Phelan has 44,695 dollars

Answer:

$ 44,695

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