Systems of Linear Equations Word Problems: Problem 2

Problem: The load capacity of a boat is 5200 tons. Its volume is 20000 cubic meters, loading the three types of cargo A, B, and C. For A, every two cubic meters is one more ton. For B, every eight cubic meters is one more ton. For C, every four cubic meters is one more ton. The total amount of weight type C takes up is 1.5 times as much as the amount of weight type A takes up. How many tons of each type of cargo should be loaded so that the amount of stuff on the boat matches the amount of volume and load capacity it has?

Key: Set good variables

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