To solve this problem, we should set up a system of equations. For this problem, let the variable a represent the number of adult tickets sold and the variable s represent the number of student tickets sold. From the given information, we can construct the following two equations:
a + s = 291
s = 2a
We can substitute in the value of s in terms of a given by the second equation into the first equation to simplify.
a + s = 291
a + 2a = 291
We should combine like terms on the left side of the equation and divide by the coefficient.
a + 2a = 291
3a = 291
a = 97
We can then substitute this value for a into either one of our original equations to solve for s.
a + s = 291
97 + s = 291
s = 194
Therefore, 97 adult tickets were sold and 194 student tickets were sold.
