The amoral profit of a business was divided between two partners, A and B, in the ratio 3:5. If B received GHA 5000 more than A, what...
Answer (2)
Let A's profit be 3 x and B's profit be 5 x .
Set up the equation 5 x = 3 x + 5000 since B received GHA 5000 more than A.
Solve for x : x = 2500 .
Calculate the total profit: 3 x + 5 x = 8 x = 8 × 2500 = 20000 . The total profit is 20000 GHA.
Explanation
Problem Analysis Let's analyze the problem. We know that the profit was divided between two partners, A and B, in the ratio 3:5. We also know that B received GHA 5000 more than A. Our goal is to determine what the question is asking for. Based on the context, it seems like the question is asking for the total profit of the business.
Setting up the equation Let the profit of A be 3 x and the profit of B be 5 x . Since B received GHA 5000 more than A, we can set up the equation: 5 x = 3 x + 5000
Solving for x Now, let's solve the equation for x :
5 x − 3 x = 5000 2 x = 5000 x = 2 5000 x = 2500
Calculating individual profits Now that we have the value of x , we can calculate the profit of A and B: Profit of A = 3 x = 3 × 2500 = 7500 GHA Profit of B = 5 x = 5 × 2500 = 12500 GHA
Calculating the total profit To find the total profit, we add the profits of A and B: Total Profit = Profit of A + Profit of B Total Profit = 7500 + 12500 = 20000 GHA Therefore, the total profit of the business was GHA 20000.
Final Answer The question asks for the total profit of the business. We found that the total profit is GHA 20000.
Examples
Understanding ratios and proportions is crucial in many real-life scenarios. For instance, when baking, you might need to adjust ingredient quantities based on a specific ratio to maintain the recipe's consistency. Similarly, in business, profit sharing among partners often relies on pre-agreed ratios, ensuring fairness and transparency. This problem demonstrates how algebraic equations can be used to solve practical problems involving proportional relationships and differences in quantities.
The total profit of the business shared between partners A and B is GHA 20000 after calculations. Partner A received GHA 7500 and partner B received GHA 12500. The difference of GHA 5000 between their profits aligns with the ratio provided.
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