Answer:
6 film tickets
Explanation:
To find out the number of film tickets Rico purchased, start by forming an equation for the total cost of tickets.
Total cost= cost of first ticket +(number of additional tickets)(cost of each additional ticket)
Let the total cost be $T and the number of additional tickets be n.
T= 16 +11n -----(1)
Given that Rico spends a total of $71, T= 71.
Substitute T= 71 into (1):
71= 16 +11n
Subtract 16 from both sides:
11n= 71 -16
11n= 55
Divide both sides by 11:
n= 55 ÷11
n= 5
Note that n is the number of additional tickets purchased and not the total number of tickets.
Total number of tickets purchased
= first ticket + number of additional tickets
= 1 +5
= 6
Thus, Rico purchased 6 film tickets.