A sandwich store charges $20 to have 3 subs delivered and $26 to have 4 subs delivered. This includes the delivery fee. Explain why each sub cost $6 

Let's break down the information given:

- For 3 subs delivered, the total cost is $20.
- For 4 subs delivered, the total cost is $26.

Since both prices **include the delivery fee**, the cost for the subs and the delivery fee are combined. We want to determine how much **each sub costs**.

### Step-by-step reasoning:

1. **Let the cost of each sub be $ x $**, and the fixed delivery fee be $ d $.**
   
   - For 3 subs, the total cost is:
   \[
   3x + d = 20
   \]
   - For 4 subs, the total cost is:
   \[
   4x + d = 26
   \]

2. **Subtract the first equation from the second:**
   \[
   (4x + d) - (3x + d) = 26 - 20
   \]
   This simplifies to:
   \[
   x = 6
   \]
   So, **each sub costs $6**.

3. **Find the delivery fee:**

   Now that we know each sub costs $6, substitute $ x = 6 $ into one of the original equations, for example, the first one:
   \[
   3(6) + d = 20
   \]
   \[
   18 + d = 20
   \]
   \[
   d = 2
   \]
   So, the **delivery fee is $2**.

### Conclusion:
Each sub costs **$6**, and the fixed delivery fee is **$2**.

Would you like further details or have any other questions?

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Here are 5 relative questions to explore further:

1. What would be the total cost for 5 subs, including the delivery fee?
2. How much would the delivery fee be if 7 subs were ordered?
3. If the store increases the price of each sub by $1, how much will 4 subs cost?
4. How would the total cost change if the delivery fee was doubled?
5. If a discount of 10% is applied to each sub, what is the new cost for 3 subs?

**Tip:** When solving systems of equations, subtracting one from another is an effective method to eliminate unknowns.

A sandwich store charges $20 to have 3 subs delivered and $26 to have 4 subs delivered. This includes the delivery fee. Explain why each sub costs $6.

Learn how to solve a system of linear equations to find the cost of each sub and the delivery fee. The problem involves algebraic concepts like linear equations and the elimination method. Suitable for students in Grades 6-8.

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