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A farmer has 160 bushels of apples to sell at her roadside stand. She sells an average of 15 1/8 bushels each day. Represent the total change in the number of bushels she has for sale after 5 days.

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Final answer:

The farmer would have 84.375 bushels of apples remaining after selling an average of 15 1/8 bushels per day over the course of 5 days.

Step-by-step explanation:

To represent the total change in the number of bushels of apples a farmer has after 5 days, we need to calculate how many bushels are sold in those days and subtract that amount from the initial quantity. The farmer sells an average of 15 1/8 bushels each day. Over a period of 5 days, the number of bushels sold would be 5 days × 15 1/8 bushels/day.

Calculating the Total Bushels Sold

Convert 15 1/8 bushels to an improper fraction, which is 121/8 bushels.
  1. Multiply this by 5 days: (121/8) × 5.

  2. Simplify the multiplication: (121 × 5) / 8 = 605/8, which equals 75.625 bushels.

Subtracting Sold Bushels from Initial Quantity

The initial quantity is 160 bushels.
  1. Subtract the total sold bushels: 160 - 75.625 = 84.375 bushels remaining.

Therefore, after 5 days, the farmer would have 84.375 bushels of apples remaining at the roadside stand.

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