In the first month, 4.7 of the stock of flour stored there was removed from the warehouse, after which 76.5 tons

In the first month, 4.7 of the stock of flour stored there was removed from the warehouse, after which 76.5 tons of flour remained in the warehouse. How much flour was stored in the warehouse?

Let us denote by x the number of tons that make up the mass of all flour that was originally stored in the warehouse.

In the initial data for this task, it is reported that after 4/7 of the flour stored there was taken away from this warehouse, the remaining flour in the warehouse amounted to 76 and a half tons, therefore, we can draw up the following equation:

x – (4/7) * x = 76.5,

solving which, we get:

(7/7) * x – (4/7) * x = 76.5;

((7 – 4) / 7) * x = 76.5;

(3/7) * x = 76.5;

x / 7 = 76.5 / 3;

x / 7 = 25.5;

x = 7 * 25.5 = 178.5 t.

Answer: 178.5 tons.