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. what was the admission cost for each player?

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

24 units

step-by-step explanation: