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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Answer:
Step-by-step explanation:
24 + 36 = 12*2 + 12*3
= 12* (2 + 3)
= 12 * 5
= 60
N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
