The mass of a steel block is 19 times that of an aluminum block. The total weight of the blocks is 50,000 kg

The mass of a steel block is 19 times that of an aluminum block. The total weight of the blocks is 50,000 kg. How much do 4 steel blocks and 5 aluminum blocks weigh?

Let’s compose a system of equations in which we write the mass of the aluminum block as x.

Since we know that all the steel block is 19 times larger, then its mass is: 19 * x.

The sum of the weight of the two blocks will be:

x + 19 * x = 50,000 kg.

20 * x = 50,000.

x = 50,000/20 = 2,500 kg (weighs an aluminum block).

19 * x = 19 * 2500 = 47500 kg (weighs a steel block).

From this it follows that the total mass of 4 steel and 5 aluminum blocks will be equal to:

4 * 47500 + 5 * 2500 = 1900000 + 12500 = 202500 kg.

Answer: 202500 kg.