while traveling to europe, phelan exchanged 250 us dollars for euros. he spent 150 euros on his trip. after…

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 he now have? round to the nearest cent. 1 european euro = 1.3687 us dollars. 44.70 us dollars 73.06 us dollars 136.87 us dollars 140.41 us dollars

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 he now have? round to the nearest cent. 1 european euro = 1.3687 us dollars. 44.70 us dollars 73.06 us dollars 136.87 us dollars 140.41 us dollars

Answer

Explanation:

Step1: Calculate euros left

Phelan exchanged 250 US - dollars for euros. He spent 150 euros. First, we need to find out how many euros he has left. But we don't need to convert the initial 250 dollars to euros. We directly work with the euros he spent. He has (x = 250\div1.3687-150) euros left. However, an easier way is to first find out the dollar - value of the 150 euros he spent and then subtract that from 250. The dollar - value of 150 euros is (150\times1.3687).

Step2: Calculate remaining dollars

We subtract the dollar - value of the euros he spent from the initial 250 dollars. Let (y) be the remaining dollars. Then (y=250 - 150\times1.3687). [ \begin{align*} y&=250-(150\times1.3687)\ &=250 - 205.305\ & = 44.695\approx44.70 \end{align*} ]

Answer:

44.70 US dollars