If k pencils cost c cents, what is the cost in cents of p pencils?

Options

A. `(pc)/(k)`
B. `(pk)/(c)`
C. `(c)/(kp)`
D. `cpk`

Answer

To find the cost of \( p \) pencils given that \( k \) pencils cost \( c \) cents, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given information**: We know that \( k \) pencils cost \( c \) cents. This can be expressed as:
\[ \text{Cost of } k \text{ pencils} = c \text{ cents} \]

2. **Find the cost of one pencil**: To find the cost of one pencil, we divide the total cost by the number of pencils:
\[ \text{Cost of one pencil} = \frac{c}{k} \text{ cents} \]

3. **Calculate the cost of \( p \) pencils**: To find the cost of \( p \) pencils, we multiply the cost of one pencil by \( p \):
\[ \text{Cost of } p \text{ pencils} = p \times \left(\frac{c}{k}\right) = \frac{c \cdot p}{k} \text{ cents} \]

4. **Final expression**: Therefore, the cost in cents of \( p \) pencils is:
\[ \frac{c \cdot p}{k} \text{ cents} \]

### Final Answer:
The cost in cents of \( p \) pencils is \( \frac{c \cdot p}{k} \).

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