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The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town council originally predicted the city’s population would grow by _________.
Detailed Explanation
To determine the town council's original prediction for the city's population growth, we can calculate one-fifth less than the actual growth of 600,000 people between 1995 and 2005. Let's denote the original predicted growth as "x." Given that the actual growth was one-fifth more than the predicted growth, we can express it as:
Actual Growth = Predicted Growth + One-Fifth of Predicted Growth
600,000 = x + (1/5)x
To solve for x, we can simplify the equation:
600,000 = (6/5)x
Dividing both sides by (6/5), we get:
x = (5/6) × 600,000
x = 500,000
Therefore, the town council originally predicted the city's population would grow by 500,000 people.
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