Let us assume cost of each pineapple cake = $x.
Cost of each chocolate cakes = $y.
On weekdays 45 pineapple cakes and 62 chocolate cakes were sold.
Total cost of 45 pineapple cakes and 62 chocolate cakes were sold = $3,520.
Therefore, first equation would be
45x + 62y = 3520 --------------equation(1).
On weekends 55 pineapple cakes and 79 chocolate cakes were sold.
Total cost of 55 pineapple cakes and 79 chocolate cakes were sold = $4,415.
Therefore, second equation would be
55x + 79y = 4415 --------------equation(2).
[tex]\left[\begin{array}{ccc}45&62&3520\\55&79&4415\end{array}\right][/tex].
Answer:
The determinant of the matrix for the pineapple cake is
4,350. The price of one pineapple cake is $30.
The determinant of the matrix for the chocolate cake is
5,075. The price of one chocolate cake is $35.
