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What is the pattern of percents described in the following statements?

A) When the percent is halved and the other number is halved, the answer is 50.
B) When the percent is halved and the other number is halved, the answer is 50.
C) When the percent is increased by 2 and the other number remains the same, the answer is 50.
D) When the percent remains the same and the other number is increased by 2, the answer is 50.

1 Answer

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Final answer:

The pattern described in the statements involves the interaction between a percentage and another number to maintain a product or result of 50. The percentage and the other number are adjusted (halved or increased) to consistently achieve the answer of 50, providing a mathematical relationship between the two variables.

Step-by-step explanation:

The pattern described in the statements provided involves the relationship between two variables: the percentage and another number. The statements imply a scenario where the initial condition results in an answer of 50. Let's explore the pattern using the context of percentage calculations.

For statement A and B, halving both variables results in an answer of 50. Let's assume the initial percentage is 100%, representing a whole, and the initial value of the other number is also a whole. Halving both (to 50% and half of the whole number) maintains the proportion such that it still results in 50.

For statement C, increasing the percent by 2 while keeping the other number constant also gives 50. This implies that initially, the percentage figure must have been close to 100%, and the number should be equivalent to the half needed to achieve the answer of 50.

For statement D, keeping the percent constant and increasing the other number by 2 to achieve an answer of 50 suggests that the original other number should be slightly less than half, so that the addition of 2 brings it up to the half required to pair with the percent for the answer of 50.

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