177k views
3 votes
you are shipping at most 50 pounds of coffee is two different size containers. The 5-pound container are 36 cubic inches and the 10-pound containers are 12 cubic inches. You are limited to at most 108 cubic inches.

1 Answer

5 votes

Final answer:

To solve this problem, set up a system of equations to represent the given information and solve for the values of x and y.

Step-by-step explanation:

To solve this problem, we can set up a system of linear equations to represent the given information.

Let's assume we have x 5-pound containers and y 10-pound containers.

The total weight of the coffee in pounds can be represented by the equation 5x + 10y = 50 (since we are shipping at most 50 pounds of coffee).

The total volume of the containers in cubic inches can be represented by the equation 36x + 12y ≤ 108 (since we are limited to at most 108 cubic inches).

We can solve this system of equations to find the values of x and y that satisfy both equations.

User Sergey Grinev
by
5.6k points