The alloy consists of tin and lead. 5 parts of tin have 2 of the same parts of lead.

The alloy consists of tin and lead. 5 parts of tin have 2 of the same parts of lead. How many grams of tin are in a pile of lead, in which there is 30 g less lead than tin?

Tin and lead in an alloy have a ratio of 5: 2 to each other.

This means that if x gr. In the lead alloy, then tin in the same alloy:

x * 5/2 = 2.5 * x gr.

According to the conditions of the problem, it is known that the mass of lead in the alloy is 30 g. less than the mass of tin in the alloy, so we get a simple equation:

2.5 * x – x = 30;

1.5 * x = 30;

x = 20 gr.

2.5 * x = 50 gr.

Answer: the alloy contains 50 grams of tin.