Maurice has 16 cups of sugar in his pantry. He decides to use the sugar to bake cookies every Monday. Each time he makes cookies, he uses 1.2 cups of sugar. Which inequality represents the period, w, in weeks, when Maurice will have more than 10 cups of sugar in his pantry?
A.w > 5
B.w < 5 
C.w > 7.2
D.w < 7.2

Let's break down the problem and set up the inequality.

Maurice starts with 16 cups of sugar, and each time he bakes cookies (every Monday), he uses 1.2 cups of sugar. We need to figure out for how many weeks \( w \) Maurice will have more than 10 cups of sugar remaining.

### Step 1: Write the inequality
Each week, Maurice uses 1.2 cups of sugar. After \( w \) weeks, the amount of sugar he has left will be:

\[
16 - 1.2w
\]

We are told that Maurice wants to have **more than** 10 cups of sugar, so the inequality is:

\[
16 - 1.2w > 10
\]

### Step 2: Solve the inequality
Now, let's solve for \( w \):

\[
16 - 1.2w > 10
\]

Subtract 16 from both sides:

\[
-1.2w > 10 - 16
\]

\[
-1.2w > -6
\]

Now, divide both sides by -1.2. Remember, when dividing by a negative number, we reverse the inequality sign:

\[
w < \frac{-6}{-1.2}
\]

\[
w < 5
\]

### Step 3: Conclusion
The inequality that represents the number of weeks \( w \) when Maurice will have more than 10 cups of sugar is:

\[
\boxed{w < 5}
\]

So the correct answer is **B. \( w < 5 \)**.

---
Would you like further details, or have any questions on this?

Here are five questions to expand your understanding:
1. How would the inequality change if Maurice started with 20 cups of sugar?
2. What if Maurice used 1.5 cups of sugar per week instead of 1.2?
3. How many weeks exactly will it take for Maurice to have 10 cups of sugar left?
4. How would you write the inequality if he wanted **at least** 10 cups left instead of more than 10?
5. What is the total amount of sugar Maurice uses after 5 weeks?

**Tip:** Always remember to reverse the inequality sign when multiplying or dividing by a negative number.

Maurice has 16 cups of sugar in his pantry. He decides to use the sugar to bake cookies every Monday. Each time he makes cookies, he uses 1.2 cups of sugar. Which inequality represents the period, w, in weeks, when Maurice will have more than 10 cups of sugar in his pantry? A. w > 5 B. w < 5 C. w > 7.2 D. w < 7.2

Learn how to solve an inequality where Maurice starts with 16 cups of sugar and uses 1.2 cups weekly to bake cookies. This problem explores algebraic concepts like inequalities and solving linear equations. Perfect for students in Grades 6-8.

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