Let A and B be numbers such that 5% of A plus 4% of B equals two-thirds of (6% of A plus 8% of B). What is the ratio A:B?

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Multiple Choice

Let A and B be numbers such that 5% of A plus 4% of B equals two-thirds of (6% of A plus 8% of B). What is the ratio A:B?

This problem hinges on turning the percentage expressions into a simple algebraic equation and then solving for a ratio. Convert everything to a common form: 5% of A is 0.05A, 4% of B is 0.04B, and two-thirds of the bracket is (2/3)(0.06A + 0.08B). Clearing decimals by multiplying by 100 gives 5A + 4B = (2/3)(6A + 8B). To remove the fraction, multiply both sides by 3: 15A + 12B = 2(6A + 8B) = 12A + 16B. Subtract 12A from both sides to get 3A + 12B = 16B, then subtract 12B to obtain 3A = 4B. This yields A:B = 4:3.

Let A and B be numbers such that 5% of A plus 4% of B equals two-thirds of (6% of A plus 8% of B). What is the ratio A:B?

Prepare for the Progressive Pre-Employment Assessment Test with targeted practice questions. Sharpen your skills with detailed explanations and hints. Ace your assessment!

Let A and B be numbers such that 5% of A plus 4% of B equals two-thirds of (6% of A plus 8% of B). What is the ratio A:B?

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