Question - Determining Ratio of a to b
Solution:
The provided image shows a question that reads:"3. If the ratio of 6a to 4b is 1 to 5, what is a to b?"To find the ratio of a to b, we start with the given ratio of 6a to 4b, which is 1 to 5. This can be written as an equation:6a / 4b = 1 / 5Now, let's solve for the ratio of a to b:(6a / 4b) * (4b / 6a) = (1 / 5) * (4b / 6a)This simplifies to:a / b = (1 * 4b) / (5 * 6a)Cancelling out 'b' from numerator and denominator and simplifying the numbers gives us:a / b = 4 / (5 * 6)a / b = 4 / 30Simplify the ratio by dividing both numerator and denominator by their greatest common divisor, which is 2:a / b = (4 / 2) / (30 / 2)a / b = 2 / 15Thus, the ratio of a to b is 2 to 15, which is not listed in the answer choices provided. It seems there might be an error in the question or the answer choices. If the question or answers are incorrect or incomplete, please provide additional information or the correct set of answer choices to help me assist you better.
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