A and B invest in a business in the ratio 5:7. If the total profit is $24,000, h

A and B invest in a business in the ratio 5:7. If the total profit is $24,000, how much profit does B receive?

A and B invest in a business in the ratio 5:7. If the total profit is $24,000, how much profit does B receive?

Correct Answer: $14,000

Step 1: Identify the ratio of investment between A and B, which is 5:7.
Step 2: Add the parts of the ratio together: 5 + 7 = 12 parts.
Step 3: Determine how many parts B has in the ratio, which is 7 parts.
Step 4: Calculate B's share of the total profit by using the formula: (B's parts / Total parts) * Total profit.
Step 5: Substitute the values into the formula: (7 / 12) * 24000.
Step 6: Calculate the result: 7 * 24000 = 168000, then divide by 12: 168000 / 12 = 14000.
Step 7: Conclude that B receives $14,000.

Ratio and Proportion – Understanding how to divide profits based on the ratio of investments.
Basic Arithmetic – Performing calculations involving addition and multiplication.