The manager at a movie theater keeps track of the number of evening tickets and matinee tickets sold each day and the total money received. on friday, a total of 63 tickets were sold, and the money collected was $742. if evening tickets are sold for $14 and matinee tickets are sold for $10, how many evening tickets and matinee tickets were sold?

Let the number of Matinee tickets be x 
Let the number of evening tickets be y
Number of sold tickets = 63, this means that: x+y = 63 > equation I
Price of matinee ticket = 10 and price of evening tickets = 14
Total money collected = 742, this means that 10x + 14y = 742 > equation II

From equation I: x = 63 - y > equation III

Substitute by equation III in equation II:
10(63-y) + 14y = 742
630 - 10y + 14y = 742
4y = 742 - 630 = 112
y = 112/4 = 28
Substitute by the value of y is equation III:
x = 63-28 = 35

Based on the above calculations:
number of matinee tickets = x = 35 tickets
number of evening tickets = y = 28 tickets