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).

Therefore, system of equation are 45x + 62y = 3520  and 55x + 79y = 4415.And we can form a matrix as

.

3,560 divided into 23 equal parts is 154.78. theres an extra .78 on each 154 so if each plot is an even 154 then the .78 would be times by 23 to add up all the extra which would be 17.94 or rounded to 18.

  3560 / 23 = 154.78
       154 into 23 evenly ( 154*23) is 3542
       3560-3542 = 18

plots = 154 each
com. pile =18