Question

Timmy is helping his grandpa on his chicken farm. Timmy has to pack 66 eggs into cartons, minimizing the packing cost. He can use 12-egg cartons and 6-egg cartons. Two 12-egg cartons cost as much as three 6-egg cartons.

Answer 1

The way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.

Since Timmy is helping his grandpa on his chicken farm, and he has to pack 66 eggs into cartons, minimizing the packing cost, and he can use 12-egg cartons and 6-egg cartons, and two 12-egg cartons cost as much as three 6-egg cartons, to determine how many cartons of each should be used, the following calculation must be performed:

• 2 x 12 = 3 x 6
• 24 = 18
• Thus, assuming as an example that a total of 2 cartons of 12 eggs and 3 cartons of 6 eggs cost $ 3, the value of each carton would be the following:
• 3/3 = 1
• 3/2 = 1.5  
• 66/12 = 5.5
• 5 x 1.5 + 1 x 1 = X
• 7.5 + 1 = X
• 8.5 = X

In this way, the way to distribute the eggs at the lowest cost would be using 5 cartons of 12 eggs and 1 carton of 6 eggs.

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