A Comparative Analysis of Oranges and Pears Sold: A Mathematical Insight

A recent harvest from Uncle Charles resulted in 1200 pounds of fruits, a diverse mix of 64 oranges and a majority of pears. Such a bounty presents a golden opportunity to analyze the sales of these two fruits in a thorough manner, examining how many more pounds of oranges were sold compared to pears.

The Harvest Breakdown

Uncle Charles harvested a total of 1200 pounds of fruits, with 64 of these being oranges. The remaining fruits were therefore pears, which can be calculated as follows:

Total fruit weight 1200 pounds

Pounds of oranges 64% of 1200 (64/100) * 1200 768 pounds

Pounds of pears 1200 - 768 432 pounds

This break down helps us understand the distribution of the fruits harvested.

Calculation of Sold Pounds

Of the 768 pounds of oranges, 40 were sold. This can be computed as:

Oranges sold 40% of 768 (40/100) * 768 307.2 pounds

Similarly, 30 pounds of pears were sold:

Pears sold 30% of 432 (30/100) * 432 129.6 pounds

The Comparative Analysis

When we compare the pounds of oranges sold to the pounds of pears sold, we can see a significant difference:

More pounds of oranges sold Pounds of oranges sold - Pounds of pears sold

More pounds of oranges sold 307.2 - 129.6 177.6 pounds

This analysis reveals that Uncle Charles sold 177.6 more pounds of oranges compared to pears, showcasing the preference for oranges among the consumers in this case.

Conclusion

The data from the recent harvest and the subsequent sales provide valuable insights into consumer preferences and market trends. Understanding these trends can help farmers and business owners plan their future harvests and sales strategies more effectively.