En un platillo de una balanza colocamos un queso, en el otro ponemos las tres cuartas partes de otro queso igual y para equilibrarlo añadimos un peso de tres cuartos de kilo. ¿Cuál es el peso del queso?

The cheese weighs 3 kilograms.

Step-by-step explanation:

I will answer this in English, feel free to translate it if you need it.

This can be translated to:

In a weighing pan of a scale, we place a cheese, in the other we put three-quarters of another cheese equal, and to balance it we add a weight of 3/4 kg. What is the weight of the cheese?

We know that the weight on both pans must be the same.

Then if the weight of the cheese is C, we have the equation:

C = (3/4)*C + 3/4kg

this says:

The weight of the complete cheese is equal to the weight of 3/4 of the cheese plus 3/4kg.

Now we can solve it for C.

C  - (3/4)*C = 3/4kg

C*(1 - 3/4) = C*(1/4) = 3/4kg

C = 4*(3/4)kg = 3kg

The cheese weighs 3 kilograms.

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step-by-step explanation: