a company has a $150 budget to provide lunch for its 20 employees. the options are to provide either roast beef sandwiches, which cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. the company also wants to use the entire budget. suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. which statement is correct?

a. the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r-t=20 and 5r+5t=150.

b. the company can provide lunch for all 20 employees and use the entire budget because there is a solution to the system of equations r+t=20 and 5r+5t=150.

c. the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r-t=20 and 5r-5t=150.

d. the company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations r+t=20 and 5r+5t=150.