https://file.aiquickdraw.com/mathbot/file/1730742936624xr27t66c.jpg

Let's solve the problem step-by-step.

### Step 1: Define the Variables
Let:
- $ x $ be the number of shirts Allison can buy.

### Step 2: Set Up the Equation
Each shirt costs $16, so the total cost for $ x $ shirts will be $ 16x $.
Additionally, there is a one-time delivery charge of $3.
Allison has $51 to spend.

So, the equation that represents this situation is:
\[
16x + 3 = 51
\]

### Step 3: Solve the Equation
1. Subtract 3 from both sides to isolate the term with $ x $:
   \[
   16x = 51 - 3
   \]
   \[
   16x = 48
   \]

2. Divide both sides by 16 to solve for $ x $:
   \[
   x = \frac{48}{16}
   \]
   \[
   x = 3
   \]

### Answer
Allison can buy **3 shirts**.

**Equation:** $ 16x + 3 = 51 $  
**Solution:** $ x = 3 $ shirts

Would you like further details, or have any other questions?

### Related Questions
1. What if each shirt cost $18 instead of $16?
2. How would the solution change if Allison had $60 to spend?
3. What is the maximum number of shirts she could buy if there was no delivery charge?
4. How would the equation change if the delivery charge were $5 instead of $3?
5. Can you set up a similar equation if Allison wants to buy pants that cost $20 each?

**Tip:** When solving word problems, carefully define variables and break down the equation setup based on each condition provided.

Allison wants to order shirts that cost $16 each online and will pay a $3 delivery charge. She has $51 to spend. How many shirts can she buy? Write and solve an equation that represents the situation.

Learn how to solve the problem of finding how many shirts Allison can buy if each shirt costs $16, with an additional $3 delivery charge, and a total budget of $51. This problem covers key algebraic concepts, including setting up and solving linear equations, and is suitable for students in Grades 6-8.

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