Subjects algebra

Cost Equation Ec21F9

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1. The problem asks: Which equation can you use to find the cost $c$ of each costume if two costumes cost 25 in total? 2. We know the total cost of two costumes is 25, so the sum of the costs of two costumes is 25. 3. If each costume costs $c$, then the total cost of two costumes is $2c$. 4. The equation representing this is $$2c = 25$$ because multiplying the cost of one costume by 2 gives the total cost. 5. Let's check the other options: - $\frac{c}{2} = 25$ means half the cost is 25, which is incorrect. - $c - 2 = 25$ means the cost minus 2 equals 25, which doesn't fit the problem. - $c + 2 = 25$ means the cost plus 2 equals 25, also incorrect. 6. Therefore, the correct equation to find the cost $c$ of each costume is $$2c = 25$$. 7. To find $c$, divide both sides by 2: $$\frac{\cancel{2}c}{\cancel{2}} = \frac{25}{2}$$ 8. Simplifying gives: $$c = \frac{25}{2} = 12.5$$ 9. So, each costume costs 12.5.