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.

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).

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