A truck can carry 582 boxes of biscuits weighing 16 kg each, whereas a van can carry 359 such boxes. Find the total weight that can be carried by both the vehicles.

Options

A. 20000 kg
B. 15056 kg
C. 25000 kg
D. 12000 kg

Answer

To find the total weight that can be carried by both the truck and the van, we can follow these steps:

### Step 1: Calculate the weight carried by the truck.
- The truck can carry 582 boxes, and each box weighs 16 kg.
- To find the total weight carried by the truck, we multiply the number of boxes by the weight of each box:
\[ \text{Weight carried by truck} = 582 \text{ boxes} \times 16 \text{ kg/box} \]

### Step 2: Calculate the weight carried by the van.
- The van can carry 359 boxes, and each box also weighs 16 kg.
- To find the total weight carried by the van, we multiply the number of boxes by the weight of each box:
\[ \text{Weight carried by van} = 359 \text{ boxes} \times 16 \text{ kg/box} \]

### Step 3: Add the weights from both vehicles.
- Now, we add the weight carried by the truck and the weight carried by the van to find the total weight:
\[ \text{Total weight} = \text{Weight carried by truck} + \text{Weight carried by van} \]

### Step 4: Simplify the calculation.
- Instead of calculating each weight separately, we can factor out the common weight (16 kg):
\[ \text{Total weight} = 16 \times (582 + 359) \]

### Step 5: Calculate the sum inside the parentheses.
- Now, we calculate:
\[ 582 + 359 = 941 \]

### Step 6: Multiply by the weight of each box.
- Finally, we multiply the sum by the weight of each box:
\[ \text{Total weight} = 16 \times 941 \]

### Step 7: Perform the multiplication.
- Now we calculate \(16 \times 941\):
\[ 16 \times 941 = 15056 \text{ kg} \]

### Final Answer:
The total weight that can be carried by both the truck and the van is **15056 kg**.

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