The adventure club selling candy bars to go on their annual outing. The bar sale for $2 a bar. The club bought 725 bars for $400 the club needs to make at least $1000 to go on their trip which inequality this represents the problem and are the 725 bars a viable option to make enough profit

Answer 1

To determine whether the 725 candy bars are a viable option for the adventure club to meet their financial goals, we'll first set up the inequality that represents the problem.

1. Cost of Candy Bars: The club bought 725 bars for $400.

2. Selling Price: Each candy bar sells for $2.

3. Total Revenue from Selling Bars: If they sell $x$ bars, their revenue will be $2x$.

4. Profit Calculation: The profit can be calculated by subtracting the cost from the revenue: $$\text{Profit}=\text{Revenue}-\text{Cost}$$

5. Setting Up the Inequality: The club needs to have a profit of at least $1000: $$2x-400\ge 1000$$

6. Solving the Inequality: $$2x-400\ge 1000$$ Adding 400 to both sides: $$2x\ge 1400$$ Dividing by 2: $$x\ge 700$$

This means the club needs to sell at least 700 bars to make the desired profit of at least $1000.

7. Evaluating the 725 Bars: Since the club has 725 bars and needs to sell at least 700 bars, selling 725 bars is indeed a viable option for them to make enough profit.

Conclusion: The inequality that represents this problem is $2x-400\ge 1000$, and selling 725 bars is a viable option since they only need to sell 700 bars to meet their profit goal.