Six men pack 312 percels per day Find the number of parcels packed by 11 men per day.

Answer

To solve the problem of how many parcels 11 men can pack in a day, we can use the concept of ratios and proportions. Here’s a step-by-step solution:

### Step 1: Understand the given information
We know that 6 men pack 312 parcels in one day. We need to find out how many parcels 11 men can pack in one day.

### Step 2: Set up the proportion
We can set up a proportion based on the number of men and the number of parcels they pack.

Let:
- \( m_1 = 6 \) (the number of men)
- \( W_1 = 312 \) (the number of parcels packed by 6 men)
- \( m_2 = 11 \) (the number of men we want to find parcels for)
- \( W_2 = x \) (the number of parcels packed by 11 men)

### Step 3: Write the proportion
Using the relationship between the number of men and the parcels packed, we can write:
\[ \frac{m_1}{W_1} = \frac{m_2}{W_2} \]
Substituting the known values:
\[ \frac{6}{312} = \frac{11}{x} \]

### Step 4: Cross-multiply to solve for \( x \)
Cross-multiplying gives us:
\[ 6x = 11 \times 312 \]

### Step 5: Calculate \( 11 \times 312 \)
Calculating the right side:
\[ 11 \times 312 = 3432 \]
So we have:
\[ 6x = 3432 \]

### Step 6: Solve for \( x \)
Now, divide both sides by 6 to find \( x \):
\[ x = \frac{3432}{6} \]

### Step 7: Perform the division
Calculating \( \frac{3432}{6} \):
\[ x = 572 \]

### Conclusion
Thus, the number of parcels packed by 11 men in one day is **572**.

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