Question

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?

Answer 1

$22.5

Explanation:

To find the cost for each player, first, let us find the cost of all coaches, then the rest will be for the players

Step 1: Multiply the cost for 1 coach by 5

`27.50 * 5 = 137.5`

Step 2: Subtract the result from the total amount of both players and coaches

`407.50 - 137.5 = 270`

Now we have found the total cost of all 12 players. Next up, we need to find the cost of just one player

Step 3: Divide the result by the number of players

`270 / 5`

`= (270)/(5)`

`= 22.5`

The admission cost for each player was 22.5 dollars.

Answer 2

Answer:the admission cost for each player is $22.5

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