Question

С одного дерева собрали 32 кг урюка, что в 2 раза меньше чем с другого. А с третьего дерева урюка собрали столько, сколько с первого и второго вместе. Сколько всего килограммов урюка собрали с трёх деревьев?

Answer 1

Problem Analysis

We are given information about the amount of "uruka" (a type of fruit) collected from three different trees. From one tree, 32 kg of uruka was collected, which is half the amount collected from another tree. The amount collected from the third tree is equal to the sum of the amounts collected from the first two trees. We need to determine the total amount of uruka collected from the three trees.

Solution

Let's assign variables to represent the amount of uruka collected from each tree:

- Let's call the amount collected from the first tree x kg. - The amount collected from the second tree is twice the amount collected from the first tree, so it is 2x kg. - The amount collected from the third tree is equal to the sum of the amounts collected from the first two trees, so it is x + 2x = 3x kg.

We are given that the amount collected from the first tree is 32 kg, so we can set up the following equation:

x = 32

Now we can substitute this value of x into the equations for the amounts collected from the second and third trees:

- Amount collected from the second tree: 2x = 2 * 32 = 64 kg. - Amount collected from the third tree: 3x = 3 * 32 = 96 kg.

Finally, we can find the total amount of uruka collected from the three trees by adding up the amounts collected from each tree:

Total amount = x + 2x + 3x = 6x

Substituting the value of x:

Total amount = 6 * 32 = 192 kg.

Therefore, the total amount of uruka collected from the three trees is 192 kg.