If the initial population was set at 100, what number represents the population after a 100% increase followed by a 50% increase?

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

If the initial population was set at 100, what number represents the population after a 100% increase followed by a 50% increase?

Explanation:
To determine the population after a 100% increase followed by a 50% increase, we start with the initial population of 100. When we apply the first increase of 100%, we are essentially doubling the population. Therefore, the calculation is: 100 + (100% of 100) = 100 + 100 = 200. Next, we apply the 50% increase. Now, we need to take 50% of the new population of 200: 50% of 200 = 0.50 × 200 = 100. Now we add that increase to the current population: 200 + 100 = 300. Thus, after both increases, the final population totals 300. This is why the correct answer is among the options provided.

To determine the population after a 100% increase followed by a 50% increase, we start with the initial population of 100.

When we apply the first increase of 100%, we are essentially doubling the population. Therefore, the calculation is:

100 + (100% of 100) = 100 + 100 = 200.

Next, we apply the 50% increase. Now, we need to take 50% of the new population of 200:

50% of 200 = 0.50 × 200 = 100.

Now we add that increase to the current population:

200 + 100 = 300.

Thus, after both increases, the final population totals 300. This is why the correct answer is among the options provided.

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