# There are two alloys available. The first contains 10% nickel and the second 25% nickel. From these two alloys, a third 150

**There are two alloys available. The first contains 10% nickel and the second 25% nickel. From these two alloys, a third 150 kg alloy containing 20% nickel was obtained. How many kilograms is the mass of the first alloy less than the mass of the second?**

According to the condition of the problem, the resulting alloy weighing 150 kg contains 20% nickel, which means that the mass of nickel in it is equal to:

150: 100 * 20 = 30 kg.

Suppose that to obtain this solution, we took x kg of 25% alloy, which means that the mass of 10% alloy is 150 – x kg.

Let’s compose and solve the equation:

0.25 * x + 0.1 * (150 – x) = 30,

0.25 * x + 15 – 0.1 * x = 30,

0.15 * x = 15,

x = 15: 0.15,

x = 100 (kg) is the mass of the second alloy.

150 – 100 = 50 (kg) – the mass of the first alloy.

100 – 50 = 50 (kg) – the mass of the first alloy is 50 kg less than the mass of the second.