Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ticket. The records show that, on...

     

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Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ticket. The records show that, on a certain weekend, 900 took the cruise on Saturday and 1,000 took the cruise on Sunday. The total receipts for Saturday were $12,800, and the total receipts for Sunday were $12,000. Determine how many adults and children took the cruise on Saturday and on Sunday. Let x denote the number of adults who took the cruise and y the number of children who took the cruise. Write a system of equations that represents the number of adults and children who took the cruise on Saturday. Find the coefficient matrix A for this system. A= 11 Write a matrix equation that is equivalent to this system. Write a second system of equations that represents the number of adults and children who took the cruise on Sunday. = 1,000 = 12,000 Write a matrix equation that is equivalent to this second system. 1,000 12,000 Find the inverse of A. A-1= 1 Determine how many adults and children took the cruise on Saturday and on Sunday. Saturday adults children Sunday adults children Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ticket. The records show that, on a certain weekend, 900 took the cruise on Saturday and 1,000 took the cruise on Sunday. The total receipts for Saturday were $12,800, and the total receipts for Sunday were $12,000. Determine how many adults and children took the cruise on Saturday and on Sunday. Let x denote the number of adults who took the cruise and y the number of children who took the cruise. Write a system of equations that represents the number of adults and children who took the cruise on Saturday. Find the coefficient matrix A for this system. A= 11 Write a matrix equation that is equivalent to this system. Write a second system of equations that represents the number of adults and children who took the cruise on Sunday. = 1,000 = 12,000 Write a matrix equation that is equivalent to this second system. 1,000 12,000 Find the inverse of A. A-1= 1 Determine how many adults and children took the cruise on Saturday and on Sunday. Saturday adults children Sunday adults children