A factory produces 6,000 plates per day. If one out of 15 plates is broken, how many unbroken plates does the factory produce each day?

Options

A. `5,800`
B. `5,600`
C. `800`
D. `400`

Answer

To solve the problem step by step, we can follow these instructions:

**Step 1: Identify the total number of plates produced per day.**
The factory produces 6,000 plates each day.

**Step 2: Determine the fraction of broken plates.**
According to the problem, 1 out of every 15 plates is broken. This means that for every 15 plates produced, 1 plate is broken.

**Step 3: Calculate the total number of broken plates.**
To find out how many plates are broken in a day, we can divide the total number of plates produced by the number of plates in each lot (15):
\[ \text{Number of broken plates} = \frac{6000}{15} \]
Calculating this gives:
\[ \text{Number of broken plates} = 400 \]

**Step 4: Calculate the number of unbroken plates.**
Now, we can find the number of unbroken plates by subtracting the number of broken plates from the total number of plates produced:
\[ \text{Number of unbroken plates} = 6000 - 400 \]
Calculating this gives:
\[ \text{Number of unbroken plates} = 5600 \]

**Final Answer:**
The factory produces 5,600 unbroken plates each day.

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