How to Solve Mathematical Problems with Scales?

Let's solve the following problem:

The first step in solving problems with scales is to draw a scale and note the type and number of elements rendered in the problem. In this task it is given that 3 bunnies and 1 carrot weigh as much as 1 bunny and 2 carrots.

Mathematical problems with scales

After drawing the scales, bunnies and carrots, we see that there are bunnies and carrots on each side of the scale. All bunnies are the same weight. All carrots also weigh the same.

Let's first take out a bunny on each side of the scales.

Mathematical problems with scales

Now let's take out one carrot on each side.

Mathematical problems with scales

What's left on the scales?

Mathematical problems with scales

Answer: 2 bunnies weigh as much as 1 carrot.