Answer:
124 flights will leave the airport.
Step-by-step explanation:
Let the number of flights that will leave be 'x'.
Given:
Total number of flights (N) = 496
Flights that got cancelled (C) = Three-fourths of total flights
Now, number of flights that got cancelled is given as:
[tex]C=\frac{3}{4}\times 496\\\\C=\frac{1488}{4}\\\\C=372[/tex]
Now, total flights = Total flights cancelled + Total flights that will leave
Framing in equation form, we get:
[tex]N=C+x[/tex]
Plug in the given values and solve for 'x'. This gives,
[tex]496=372+x\\\\x=496-372\\\\x=124[/tex]
Therefore, 124 flights will leave the airport.