Consider a shop that sells muffins, cookies, and cakes. The total sales on three consecutive days are as follows: on Monday, muffin, cookies, and cakes were sold for a total of . On Tuesday, muffins, cookie, and cakes were sold for a total of . On Wednesday, muffins, cookies, and cakes were sold for a total of . Let denote the price of a muffin, a cookie, and a cake, respectively. Formulate a system of linear equations representing the above scenario and find the value of .