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 . the price of one pineapple cake is $. the determinant of the matrix for the chocolate cake is . the price of one chocolate cake is $.

Let the price of one pineapple cake is: $ x

and the price of one chocolate cake is: $ y

Now, 45 pineapple cakes and 62 chocolate cakes on the weekdays.

such that total sales were $3,520 on the weekdays.

This means the equation that can be formed is:

                      45x+62y=3520

Also, 55 pineapple cakes and 79 chocolate cakes over the weekend.

Total sales on weekend were $ 4415

This means that the equation is given by:

                 55x+79y=4415

Hence, we can form a system as:

where

Determinant of A is:

and

Hence, the matrix of the pineapple cake is given by:

and its determinant is given by:

and the price of the pineapple cake is given by:

The matrix of the chocolate cake is given by:

and its determinant is given by:

and the price of one chocolate cake is given by:

answear:

a

step-by-step explanation: a

christopher is 272,195 year old

step-by-step explanation: