.
a + c = 101, ("a" for the number of adults, and "c" for the number of child)
7a + 4c = 491,
if you want solve it using the system of two equations with to unknowns.
Or simply
7a + 4(101-a) = 491,
if you want to solve it as a single equation.
From the last equation
7a + 404 - 4a = 491,
3a = 491 - 404,
3a = 87, ---> a =
= 29.
Answer. 29 adults and 101 - 29 = 72 children.