One week, a cake shop sold 45 pineapple cakes and 62 chocolate cakes on the weekdays and 55 pineapple cakes and 79 chocolate cakes over the weekend. Total sales were $3,520 on the weekdays and $4,415 over the weekend. Form a linear system representing this data and create a matrix.

The determinant of the matrix for the pineapple cake is:
a. $2850 b. $3420 c. $4350 d. $4625

The determinant of the matrix for the chocolate cake is:
a. $4350 b. $4625 c. $5075 d. $5225