Amilkshake vendor sells shakes in three different flavors: mango, strawberry, and chocolate. this table gives the number of shakes of each flavor sold during three shifts on one day. mango strawberry chocolate shift 1 16 13 29 shift 2 26 19 45 shift 3 6 11 0 total sales were $419 in the first shift, $649 in the second shift, and $96 in the third shift. if you form a linear system representing the data in the table and create a matrix from it, the determinant is 578. what is the price of one chocolate shake?