To prepare bronze, copper, zinc and tin are alloyed in a ratio of 17: 2: 1. How much of each metal

To prepare bronze, copper, zinc and tin are alloyed in a ratio of 17: 2: 1. How much of each metal do you need to take to get 160 kg of bronze?

From the condition it is known that for the preparation of bronze, copper, zinc and tin are alloyed in a ratio of 17: 2: 1. In order to find how much of each metal must be taken to obtain 160 kg of bronze, we compose and solve the equation.

Let us introduce the coefficient of similarity k. Copper in alloy 17k, zinc – 2k, and tin – 1k kg.

Let’s compose and solve a linear equation:

17k + 2k + 1k = 160;

20k = 160;

We are looking for an unknown factor:

k = 160: 20;

k = 8.

Then the mass of copper in the alloy is 17 * 8 = 136 kg, zinc – 2 * 8 = 16 kg; tin – 1 * 8 = 8 kg.