Martina wants to buy as many felt-tip pens as possible for $10. If the pens cost between $1.75 and $2.30, what is the greatest number of pens Martina can buy?

Options

A. `4`
B. `5`
C. `6`
D. `7`

Answer

To find the greatest number of felt-tip pens that Martina can buy for $10, given that the pens cost between $1.75 and $2.30, we can follow these steps:

### Step 1: Determine the maximum number of pens at the lower price
First, we will calculate how many pens Martina can buy if each pen costs $1.75.

\[ \text{Number of pens} = \frac{\text{Total money}}{\text{Cost per pen}} = \frac{10}{1.75} \]

Calculating this gives:

\[ \frac{10}{1.75} \approx 5.714 \]

Since Martina can only buy whole pens, we round down to the nearest whole number:

\[ \text{Maximum pens at } 1.75 = 5 \]

### Step 2: Determine the maximum number of pens at the higher price
Next, we will calculate how many pens Martina can buy if each pen costs $2.30.

\[ \text{Number of pens} = \frac{10}{2.30} \]

Calculating this gives:

\[ \frac{10}{2.30} \approx 4.347 \]

Again, rounding down to the nearest whole number:

\[ \text{Maximum pens at } 2.30 = 4 \]

### Step 3: Conclusion
Now we compare the two results. The maximum number of pens Martina can buy at the lower price ($1.75) is 5, and at the higher price ($2.30) is 4. Therefore, the greatest number of pens she can buy, considering the price range, is:

\[ \text{Greatest number of pens} = 5 \]

### Final Answer
Martina can buy a maximum of **5 felt-tip pens** for $10.

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