During June, a 12 MGD plant treated 6 million gallons and used 5,400,000 gallons for backwash. What percent was the backwash?

Prepare for the North Carolina Surface Water Math Test with detailed questions and answers. Enhance your readiness with in-depth explanations and effective study tools for a comprehensive understanding crucial for success. Get exam-ready today!

To determine what percentage of the total treated water was used for backwash, you first need to calculate the total volume of water treated, which consists of the amount treated and the amount used for backwash. In this scenario, the plant treated 6 million gallons and used 5,400,000 gallons for backwash.

To find the percentage of water used for backwash, the calculation is as follows:

  1. Calculate the total water processed:
  • Total water processed = Amount treated + Amount used for backwash

  • Total water processed = 6,000,000 gallons + 5,400,000 gallons

  • Total water processed = 11,400,000 gallons

  1. Now calculate the percentage of backwash:
  • Percentage of backwash = (Backwash volume / Total water processed) * 100

  • Percentage of backwash = (5,400,000 gallons / 11,400,000 gallons) * 100

  1. Perform the division:
  • 5,400,000 / 11,400,000 = 0.4737 (approximately)
  1. Convert to a percentage:
  • 0.4737 * 100 ≈ 47.
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