1. **State the problem:**
The Yardley Tigers want to find the number of shirts where the cost from Kyle's Tees equals the cost from City Printing.
2. **Define variables and write equations:**
Let $k$ be the number of shirts.
Cost from Kyle's Tees: $$38 + 9k$$
Cost from City Printing: $$30 + 13k$$
We want to find $k$ such that:
$$38 + 9k = 30 + 13k$$
3. **Solve the equation:**
Subtract 30 from both sides:
$$38 + 9k - 30 = 30 + 13k - 30$$
$$8 + 9k = 13k$$
Subtract $9k$ from both sides:
$$8 + \cancel{9k} - \cancel{9k} = 13k - \cancel{9k}$$
$$8 = 4k$$
Divide both sides by 4:
$$\frac{8}{\cancel{4}} = \frac{4k}{\cancel{4}}$$
$$2 = k$$
4. **Interpret the result:**
The number of shirts where both options cost the same is $k = 2$.
5. **Find the cost at $k=2$:**
Calculate cost:
$$38 + 9 \times 2 = 38 + 18 = 56$$
So, the cost is 56 when the number of shirts is 2.
**Final answer:**
The cost is 56 when 2 shirts are ordered, making both options equally priced.
Equal Cost 7723C5
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