To solve this problem, we need to determine the value of x, which represents the number of times Macy hit the ball.
Let's break down the information given:
Number of tokens Macy used: 11
Number of tokens Piper used: 17
Number of times Macy hit the ball: x
Number of times Piper hit the ball: 55
Total number of pitches missed: 315
We can set up the equation as follows:
Number of tokens Macy used * Number of pitches per token + Number of tokens Piper used * Number of pitches per token - Number of times Macy hit the ball - Number of times Piper hit the ball = Total number of pitches missed
11 * 15 + 17 * 15 - x - 55 = 315
Let's simplify and solve for x:
165 + 255 - x - 55 = 315
365 - x = 315
To isolate x, we subtract 365 from both sides of the equation:
365 - x - 365 = 315 - 365
-x = -50
Finally, we multiply both sides of the equation by -1 to solve for x:
x = 50
The value of x is 50.
#### 50
The answer is: 50
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Macy and Piper went to the batting cages. Each token gets you 15 pitches. Macy used 11 tokens and Piper used 17. Macy hit the ball x times. Piper hit the ball 55 times. Macy and Piper missed 315 pitches altogether. What is the value of unknown variable x?

### Answer:
