The problem states that honey is distributed equally into jars. There are 16 jars with 24 kg of honey less than there are in 24 jars. The problem asks how much honey is in one jar, and provides a solution: $120 \text{ kg} : (16 + 24) = ?$. The intent is that 120 kg represents the total weight of honey distributed across the 16 + 24 jars, which is incorrect. However, if we interpret the intention as 120 kg is how much honey there is, where the quantity of honey in 16 jars is 24 kg less than 24 jars.

1. Problem Description

The problem states that honey is distributed equally into jars. There are 16 jars with 24 kg of honey less than there are in 24 jars. The problem asks how much honey is in one jar, and provides a solution: $120 \text{ kg} : (16 + 24) = ?$. The intent is that 120 kg represents the total weight of honey distributed across the 16 + 24 jars, which is incorrect. However, if we interpret the intention as 120 kg is how much honey there is, where the quantity of honey in 16 jars is 24 kg less than 24 jars.

2. Solution Steps

Let $x$ be the amount of honey in each jar. Then, the amount of honey in 16 jars is $16x$, and the amount of honey in 24 jars is $24x$. We are given that the amount of honey in 16 jars is 24 kg less than in 24 jars. Thus, we have the equation:

$$16x = 24x - 24$$

Subtract $16x$ from both sides:

$$0 = 8x - 24$$

Add 24 to both sides:

$$24 = 8x$$

Divide both sides by 8:

$$x = \frac{24}{8} = 3$$

The equation given in the image is $120 : (16 + 24) = ?$ . This equation makes no sense in the context of the problem. Instead, based on the English, it implies $24x - 16x = 24$ where $x=3$. It is also unlikely that 120 kg can solve it.

Based on the text in the image, the amount of honey in 16 jars is 24 kg less than the amount of honey in 24 jars. Let $x$ represent the amount of honey in one jar. Then the amount of honey in 16 jars is $16x$ and the amount of honey in 24 jars is $24x$. Therefore, the difference between the amounts is $24x - 16x = 24 \text{ kg}$.

$$(24 - 16)x = 24$$

$$8x = 24$$

$$x = \frac{24}{8}$$

$$x = 3 \text{ kg}$$

3. Final Answer

The amount of honey in one jar is 3 kg.