A boat must carry aluminum pieces for a construction project that weighs, in total, no more than 50,000 kilograms. Each aluminum piece is either a beam, which weighs 100 kg, or a connector plate, which weighs 2 kg.

If the boat is carrying the maximum weight of aluminum pieces, what equation gives the number of beams, b (c) as a function of the number of connector plates, c?

Step-by-step explanation:

Let b represent the number of beams.

Let c represent the number of connector plates.

Each aluminum piece is either a beam, which weighs 100 kg, or a connector plate, which weighs 2 kg. The total weight of b beams and c connector plates would be

100b + 2c

The boat must carry aluminum pieces for a construction project that weighs, in total, no more than 50,000 kilograms. Therefore, the equation becomes

100b + 2c ≤ 50000