The number of tickets purchased costing $21 each = Â 18
The number of tickets purchased costing $ 27 each = Â 11
Step-by-step explanation:
The total number of tickets purchased = 29
Here, let us assume that:
The number of tickets  purchased costing $21  = m
The number of tickets purchased costing $ 27 Â = 29 - m
So, now the cost of m tickets costing $21 each = m x ( $21) Â = 21 m
Also, the cost of purchasing ( 29-m) tickets costing $27 each
= (29-m)x  $27  = 783  - 27 m
Also, the total cost of purchasing  29 tickets  = $ 675
⇒ The total cost of m tickets  +  (29- m ) tickets  = $ 675
or,  21 m + 783  - 27 m  =  675
⇒  - 6 m  = 675  - 783  =  -108
or, m  108/6 =  18
⇒ m  = 18
Hence the number of tickets purchased costing $21 each = m = 18
The number of tickets purchased costing $ 27 each  = 29 - m
= 29 - 18 Â = Â 11