A shopkeeper buys a mixture of nuts; the almonds cost a pound, and the walnuts cost a pound. Her total purchase weighs and costs . Use Cramer’s rule to determine how much of each nut she bought.
The amount of each nut she bought
If a system of 2 linear equations in the 2 variables , ; is equivalent to the matrix equation , and if , then its solutions are
Here, and are the matrices obtained by replacing the 1st and 2nd column of D by the matrix respectively.
Assume that and are the amounts of almonds and walnuts she bought.
Using Cramer’s rule,
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started