A ship departs from Port miami with 5678 tons of cargo the ship docks at the Bahamas and the uploads some cargo the crew also loads three times the quantity of cargo that was unloaded of the ship holds 8588 tons now how many tons of cargo did the ship unload at the bahamas

Question

Mathematics

Deon

9 August, 07:39

A ship departs from Port miami with 5678 tons of cargo the ship docks at the Bahamas and the uploads some cargo the crew also loads three times the quantity of cargo that was unloaded of the ship holds 8588 tons now how many tons of cargo did the ship unload at the bahamas

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Answers (1)

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Alexander Phillips · Answer 1

Answer: the ship unloaded 1455 tons of cargo at the bahamas.

Step-by-step explanation:

Let x represent number of tons of cargo that the ship unloaded at the bahamas.

The initial number of tons of cargo in the ship is 5678 tons. If it unloads x tons of cargo, the number of tons of cargo left would be

5678 - x

The crew also loads three times the quantity of cargo that was unloaded. This means that the number of tons of cargo that it loaded is 3x. The total number of tons of cargo in the ship would be

5678 - x + 3x

= 5678 + 2x

If the ship holds 8588 tons now, it means that

5678 + 2x = 8588

2x = 8588 - 5678

2x = 2910

x = 2910/2

x = 1455 tons of cargo