Question

At an entertainment center, two groups of people bought batting tokens extra prac see pages 728, math self-check q h.o.t. probl group number of batting tokens number of miniature total 16 golf games cost 22 3 $30 5 $43 24. Define variables and formulate a system of linear equations from this situation. 25. Solve the system of equations and explain what the solution represents in terms of the situation. 16 chapter 5 solving systems of linear equations.

Answer 1

To formulate a system of linear equations, let x represent the number of batting tokens bought by the first group and y represent the number of batting tokens bought by the second group. The system of linear equations is x + y = 16, 3x = 22, and 5y = 30.

Step-by-step explanation:

To define variables and formulate a system of linear equations from this situation, we can let x represent the number of batting tokens bought by the first group and y represent the number of batting tokens bought by the second group. The total number of batting tokens bought by the two groups is 16, so we have the equation x + y = 16. Additionally, the cost of the batting tokens for the first group is $22 for 3 tokens, while the cost for the second group is $30 for 5 tokens. This gives us the equation 3x = 22 and 5y = 30. Simplifying these equations gives x = 22/3 and y = 30/5. Therefore, the system of linear equations is:

x + y = 16

3x = 22

5y = 30