A bag of dozen grapefruit was selling for $6.60. The produce manager added some grapefruit to the bag but did not change the $6.60 price. The price of a dozen grapefruit now was actually $4.40. How many grapefruit were added to the bag?

We can solve this problem using the concept of unit price.

### Step 1: Find the original price per grapefruit

The original price for a dozen (12) grapefruit was $6.60. So, the original price per grapefruit is:

\[
\text{Original price per grapefruit} = \frac{6.60}{12} = 0.55 \, \text{dollars per grapefruit}.
\]

### Step 2: Find the new price per grapefruit

After adding some grapefruit to the bag, the total price of the bag is still $6.60, but the price for a dozen grapefruit became $4.40. The new price per grapefruit is:

\[
\text{New price per grapefruit} = \frac{4.40}{12} = 0.3667 \, \text{dollars per grapefruit}.
\]

### Step 3: Determine how many grapefruit are in the new bag

Since the price for the entire bag remained $6.60, but the price per grapefruit changed to $0.3667, the total number of grapefruit in the bag now is:

\[
\text{Total number of grapefruit} = \frac{6.60}{0.3667} \approx 18.
\]

### Step 4: Find how many grapefruit were added

Originally, there were 12 grapefruit in the bag. Now, there are approximately 18 grapefruit in the bag. Therefore, the number of grapefruit added is:

\[
\text{Grapefruit added} = 18 - 12 = 6.
\]

### Conclusion

The produce manager added **6 grapefruit** to the bag.

Would you like more details or have any other questions?

Here are 5 related questions to extend your understanding:
1. What is the new price per grapefruit if the price for 18 grapefruit is reduced further to $5.00?
2. If the manager had increased the price of the grapefruit along with adding more, what would the new total cost be to maintain the same unit price of $0.55 per grapefruit?
3. How many grapefruit would there be if the price was reduced to $3.00 for the same $6.60 bag?
4. If a customer paid $10 for a bag with 18 grapefruit, what would the price per grapefruit be?
5. What would be the price for a half dozen grapefruit if the price for 18 grapefruit is $6.60?

**Tip:** Always double-check unit conversions and calculations to ensure accuracy in price and quantity comparisons.

Solve a real-world problem about a bag of grapefruit sold for $6.60. The price per dozen changed to $4.40, and we calculate how many grapefruit were added to the bag using unit price and proportion concepts. Suitable for Grades 6-8.

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