Answer:
$3,402.04
Movement helped you
Explanation:
The initial amount of $3,700 when converted to British pounds at a rate of $1:£0.49 yielded:
[tex]I = \$3,700*0.49\frac{\pounds}{\$}\\I=\pounds 1,813[/tex]
If the remaining amount was £146, the total spend in dollars is given by:
[tex]S=\frac{\pounds1,813- \pounds146}{0.49} \\S=\$3,402.04[/tex]
The amount spent in England in U.S. dollars was $3,402.04.
If the exchange rate was still $1:£0.49, the amount received back would be:
[tex]A_1 = \frac{146}{0.49}=\$297.96[/tex]
At the new rate of $1:£0.45, the amount received is:
[tex]A_2 = \frac{146}{0.45}=\$324.44[/tex]
Therefore, the movement in the exchange rate helped you.