Answer:the admission cost for each player is $22.5
Step-by-step explanation:
Let x represent the admission cost for each player.
Luke's basketball team went to an amusement park at the end of the season. The cost of the admission for 5 coaches and 12 players was 407.50. The admission cost for each coach was 27.50. This means that
5 × 27.50 + 12x = 407.5
137.5 + 12x = 407.5
Subtracting 137.5 from the left hand side and the right hand side of the equation, it becomes
12x + 137.5 - 137.5= 407.5 - 137.5
12x = 270
Dividing the left hand side and the right hand side of the equation by 12, it becomes
12x/12 = 270/12
x = 270/12 = 22.5