Answer: He sold 634 steak sandwiches.
Step-by-step explanation:
Let x denotes the number of hot dogs and y denotes the number of steak sandwiches.
According to the given statements , we have
[tex]x+y=985-----------(1)\\\\ 2.95x+9.95y=7343.75----------------(2)[/tex]
Multiply 2.95 to equation (1) , we get
[tex]2.95x+2.95y=2.95(985)[/tex]
[tex]2.95x+2.95y=2905.75[/tex] (3)
Eliminate equation (2) from equation (3) , we get
[tex]7y=4438\\\\\Rightarrow\ y=\dfrac{4438}{7}\\\\\Rightarrow\ y=634[/tex]
Hence, he sold 634 steak sandwiches.
