The mass of an alloy of copper and tin is 72, the ratio of the mass of copper. The mass of tin is 2 to 7

The mass of an alloy of copper and tin is 72, the ratio of the mass of copper. The mass of tin is 2 to 7, How much copper is in the alloy.

In order to find the mass of copper in the alloy, we will compose and solve a linear equation.

Let’s start by analyzing the problem statement. We know that the mass of an alloy of copper and tin is 72 kg. It is also known that the mass of copper refers to the mass of tin is equal to 2: 7.

Let’s introduce the coefficient of similarity k and write down the mass of copper and tin in the alloy, respectively: 2k and 7k.

Let’s compose and solve the equation:

2k + 7k = 72;

k (2 + 7) = 72;

9k = 72;

k = 72: 9;

k = 8;

So, the mass of copper in an alloy weighing 72 kg is 2 * 8 = 16 kg.