A piece of alloy contains 30 g more tin than lead, and 4 times less lead than tin.

A piece of alloy contains 30 g more tin than lead, and 4 times less lead than tin. How many grams of each material is in this piece of alloy?

Let the alloy contain x g of lead.

According to the condition, lead is 4 times less than tin, which means that tin, on the contrary, is 4 times more than lead, that is, there is 4 g of tin in the alloy.

According to the condition, tin in the alloy is 30 g more than lead.

Let’s make the equation:

4x – x = 30.

3x = 30.

x = 30: 3.

x = 10 (g) – lead in the alloy.

Find how much tin is in the alloy:

4 x 10 = 40 (g).

Answer: the alloy contains 40 g of tin and 10 g of lead.