Final answer:
The question asks us to find the number of batting tokens and the cost of miniature golf games for two groups at an entertainment center. Using a system of equations, we can attempt to solve for the values. However, the given information leads to no solution for the system of equations.
Step-by-step explanation:
In this question, we are given information about the number of batting tokens and the cost of miniature golf games purchased by two groups at an entertainment center. We are asked to find the number of tokens and the cost of miniature golf games for each group.
Let's denote the number of batting tokens for the first group as 'x' and the number of miniature golf games as 'y'. From the given information, we can set up the following equations:
To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:
- Multiply the first equation by 3: 3x + 3y = 48
- Subtract the second equation from the first: (3x + 3y) - (3x + 5y) = 48 - 43
- Simplify: -2y = 5
- Divide both sides by -2: y = -5/2
Since the number of miniature golf games cannot be negative, there is no solution to this system of equations.