
A wooden crate containing 48 papayas weights 32.5kg. If 24 of the papayas are removed,vthe weight of the crate with the remaining papayas is 17 kg. What is the weight of the 24 papayas?

Let's break down the problem step by step.

### Given:
1. Total weight of the crate with 48 papayas = 32.5 kg
2. Weight of the crate with 24 papayas removed (remaining 24 papayas) = 17 kg

### To Find:
The weight of the 24 papayas removed.

### Step 1: Find the weight of the crate.

Let's denote:
- \( w_c \) as the weight of the crate (without any papayas).
- \( w_p \) as the weight of one papaya.

The total weight of the crate with 48 papayas can be expressed as:
\[
w_c + 48w_p = 32.5 \text{ kg}
\]

The total weight of the crate with the remaining 24 papayas can be expressed as:
\[
w_c + 24w_p = 17 \text{ kg}
\]

### Step 2: Subtract the second equation from the first.

\[
(w_c + 48w_p) - (w_c + 24w_p) = 32.5 - 17
\]
\[
48w_p - 24w_p = 15.5 \text{ kg}
\]
\[
24w_p = 15.5 \text{ kg}
\]

### Step 3: Find the weight of 24 papayas.

\[
w_p = \frac{15.5 \text{ kg}}{24}
\]

\[
w_p = 0.6458 \text{ kg (approximately)}
\]

Therefore, the weight of the 24 papayas removed is:
\[
\text{Weight of 24 papayas} = 24 \times 0.6458 \text{ kg} = 15.5 \text{ kg}
\]

So, the weight of the 24 papayas removed is **15.5 kg**.

Do you want more details or have any questions? Here are five related questions to consider:

1. What would be the weight of one papaya?
2. How much does the crate weigh on its own?
3. If you removed 12 papayas instead of 24, what would the new total weight be?
4. How much would the crate weigh if it contained only 10 papayas?
5. If you added 10 more papayas to the original 48, what would the total weight be?

**Tip:** When dealing with problems like these, setting up clear equations based on the given information can make solving for unknowns much easier.

Learn how to solve the problem involving the weight of a wooden crate containing papayas. Understand the calculations required to determine the weight of papayas removed from the crate. Suitable for Grades 7-9 mathematics students.

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