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Eggs are shipped from the poultry farm in trucks. Each carton of eggs contains twelve eggs. The cartons are then placed in a crate that holds 20 cartons. The crates are packed in trucks that carry 3125 crates of eggs. How many truckloads will it take to carry [tex]3.75 \times 10^6[/tex] eggs?

Answer :

Final answer:

You would need 5 truckloads to transport 3.75 * 10^6 eggs from the poultry farm, if each truck can carry 750,000 eggs.

Explanation:

To solve this problem, we need to determine the total number of eggs that one truck can carry, and then figure out how many truckloads it would take to transport 3.75 * 10^6 eggs. First, let's compute the number of eggs that a single crate can hold. Since one crate contains 20 cartons, and each carton holds 12 eggs, then one crate would carry 20 * 12 = 240 eggs. Next, let's compute how many eggs a single truck can carry. Given that one truck carries 3125 crates, and one crate holds 240 eggs, then one truck can carry 3125 * 240 = 750,000 eggs.

To find out the number of truckloads needed to carry 3.75 * 10^6 eggs, we divide this total by the number of eggs that can be carried by one truck: (3.75 * 10^6) / 750,000 = 5.

Therefore, it will take 5 truckloads to carry 3.75 * 10^6 eggs.

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