If four pens cost $1.96, what is the greatest number of pens that can be purchased for $7.68?

Options

A. `12`
B. `14`
C. `15`
D. `16`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the cost of one pen.
We know that the cost of four pens is $1.96. To find the cost of one pen, we divide the total cost by the number of pens.

\[ \text{Cost of one pen} = \frac{1.96}{4} = 0.49 \]

### Step 2: Calculate how many pens can be purchased with $7.68.
Now that we know the cost of one pen is $0.49, we can find out how many pens can be bought with $7.68 by dividing the total amount of money available by the cost of one pen.

\[ \text{Number of pens} = \frac{7.68}{0.49} \approx 15.673 \]

### Step 3: Determine the greatest whole number of pens that can be purchased.
Since we cannot purchase a fraction of a pen, we take the greatest whole number less than or equal to 15.673, which is 15.

### Final Answer:
The greatest number of pens that can be purchased for $7.68 is **15 pens**.

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