1. **State the problem:** We need to write and solve an equation to find $b$, the number of bags each club needs to sell so that the amount raised is the same for both clubs. 2. **Write the equation:** The problem gives the equation: $$250 + 4b = 325 + 3.50b$$ where $250$ and $325$ are fixed amounts, and $4b$ and $3.50b$ represent the amounts raised from selling $b$ bags. 3. **Solve the equation:** Start by isolating terms with $b$ on one side: $$250 + 4b = 325 + 3.50b$$ Subtract $3.50b$ from both sides: $$250 + 4b - 3.50b = 325 + \cancel{3.50b} - 3.50b$$ $$250 + 0.5b = 325$$ Subtract $250$ from both sides: $$250 - 250 + 0.5b = 325 - 250$$ $$0.5b = 75$$ Divide both sides by $0.5$: $$\frac{0.5b}{\cancel{0.5}} = \frac{75}{\cancel{0.5}}$$ $$b = 150$$ 4. **Interpretation:** Each club needs to sell 150 bags to raise the same amount. 5. **Transformation rule for parallelogram:** The parallelogram EFGH is translated 4 units left and 2 units down. The rule describing this transformation is: $$(x, y) \to (x - 4, y - 2)$$ **Final answers:** - Number of bags $b = 150$ - Translation rule: $(x, y) \to (x - 4, y - 2)$