Fatima plans to spend at least​ $15 and at most​ $20 on sketch pads and pencils. If she buys 2 sketch​ pads, how many pencils can she buy while staying in her price​ range?

Let the cost of one pencil be $ p $, and let’s assume the cost of two sketch pads is fixed. We are tasked with finding how many pencils Fatima can buy to stay within her price range of $15 to $20.

### Step 1: Define the total cost.
- The total cost is the cost of 2 sketch pads plus the cost of the pencils.
- Let the cost of 2 sketch pads be $ S $.
- The number of pencils she buys is $ x $, and the cost of $ x $ pencils is $ p \times x $.

Thus, the total cost $ T $ is:
\[
T = S + p \times x
\]

### Step 2: Set up the inequality.
Fatima wants to spend at least $15 but no more than $20, so:
\[
15 \leq S + p \times x \leq 20
\]

### Step 3: Solve for $ x $.
To find how many pencils Fatima can buy, we need the cost of the sketch pads and pencils. Could you provide the price for a sketch pad and a pencil?

Let me know if you want further details or have any other questions! 

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Here are 5 follow-up questions to expand your understanding:
1. What is the cost of each sketch pad?
2. What is the cost of each pencil?
3. How would the problem change if the sketch pads had a discount?
4. Could Fatima buy additional supplies if the price of pencils decreased?
5. Can you create a similar problem with different price ranges?

**Tip:** When working with inequalities, always treat each inequality in the system separately to maintain the correct solution boundaries.

Solve a linear inequality problem where Fatima has a budget of $15 to $20 and buys 2 sketch pads. Learn how to calculate how many pencils she can afford. This algebra problem covers inequalities and linear equations, suitable for Grades 6-8.

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