The tickets that were sold to senior citizen is 55.
What is System of equations?
When two or more equations are solved together and the solution satisfies all the equation , then the set of equation are termed as system of equations.
It is given in the question that
A movie theater has 400 seats
Tickets at the theater cost
$8 for students
$7 for senior citizens
$10 for adults
All the tickets were sold
Total revenue made from sales = $3,535
If the number of adult tickets sold was 10 less than the number of student and senior tickets combined
Let the ticket sold to students = x
Sold to senior citizen = y
Sold to adults = z
z = (x+y) - 10
x+y+z = 400
x+y+x+y-10= 400
2(x+y) = 410
x+y = 205
z= 205-10
z = 195
8 *x +7*y +10*z = 3535
8x+7y +1950 = 3535
8x+7y = 1585
x+y = 205
8x+8y=1640
y =55
Therefore the tickets that were sold to senior citizen is 55.,
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