One ton has 2000 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounce each would totally fill a gunny bag of capacity 13 ions?

Options

A. `1600`
B. `1700`
C. `2350`
D. `2500`

Answer

To solve the problem step by step, we need to convert all measurements to the same unit and then perform the necessary calculations.

### Step-by-Step Solution:

1. **Convert Tons to Pounds:**
- We know that 1 ton = 2000 pounds.
- Therefore, for 13 tons:
\[ 13 \text{ tons} = 13 \times 2000 \text{ pounds} = 26000 \text{ pounds} \]

**Hint:** Remember to multiply the number of tons by the number of pounds in one ton.

2. **Convert Pounds to Ounces:**
- We know that 1 pound = 16 ounces.
- Therefore, to convert 26000 pounds to ounces:
\[ 26000 \text{ pounds} = 26000 \times 16 \text{ ounces} = 416000 \text{ ounces} \]

**Hint:** Multiply the total pounds by the number of ounces in one pound to get the total ounces.

3. **Convert Packet Weight to Ounces:**
- Each packet weighs 16 pounds and 4 ounces.
- First, convert 16 pounds to ounces:
\[ 16 \text{ pounds} = 16 \times 16 \text{ ounces} = 256 \text{ ounces} \]
- Now add the 4 ounces:
\[ 256 \text{ ounces} + 4 \text{ ounces} = 260 \text{ ounces} \]

**Hint:** Convert pounds to ounces first and then add any additional ounces.

4. **Calculate the Number of Packets:**
- Now, we need to find out how many packets of 260 ounces can fit into 416000 ounces:
\[ \text{Number of packets} = \frac{416000 \text{ ounces}}{260 \text{ ounces}} = 1600 \]

**Hint:** Divide the total ounces of the gunny bag by the weight of each packet to find the number of packets.

### Final Answer:
The total number of packets containing wheat that would totally fill a gunny bag of capacity 13 tons is **1600 packets**.