87 kg of potatoes are distributed in two boxes. One box weighs 11 kg less than the other one. How many kilograms of potatoes does the lighter box contain?

To solve this question, the user needs to understand the concept of algebraic equations and solving for variables.

Let's assume that the weight of the heavier box is x kg. Then, according to the problem, the weight of the lighter box is (x - 11) kg. The sum of the weights of both boxes is equal to 87 kg. Therefore, we can write an equation:

x + (x - 11) = 87

Simplifying this equation, we get:

2x - 11 = 87

Adding 11 to both sides, we get:

2x = 98

Dividing both sides by 2, we get:

x = 49

Therefore, the weight of the heavier box is 49 kg. The weight of the lighter box can be calculated by subtracting 11 from 49, which gives us:

49 - 11 = 38

So, the lighter box contains 38 kg of potatoes.

Now, let's go through each option and explain why it is right or wrong:

A. 38: This option is correct. As calculated above, the weight of the lighter box is 38 kg.

B. 36: This option is incorrect. The weight of the lighter box is 38 kg, not 36 kg.

C. 34: This option is incorrect. The weight of the lighter box is 38 kg, not 34 kg.

D. 28: This option is incorrect. The weight of the lighter box is 38 kg, not 28 kg.

Therefore, the correct answer is:

The Answer is: A. 38