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how much extra virgin olive oil containing 0.8% acidity of 2.5% so that the mixture has acidity of 2% report the answer in gallons round to the hundreth place

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mhanifa

Answer:

  • 1.67 gallons

Step-by-step explanation:

Question is:

  • How much extra-virgin oil, containing 0.8% acidity, must be added to 4 gallons of olive oil with an acidity of 2.5% so that the mixture has an acidity of 2%? Solution must be in gallons, rounded to nearest hundredth place

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Let the added amount be x, then acid content is:

  • 0.008x + 4*0.025 = (4 + x)*0.02
  • 0.008x + 0.1 = 0.08 + 0.02x
  • 0.02x - 0.008x = 0.1 - 0.08
  • 0.012x = 0.02
  • x = 0.02/0.012
  • x = 1.67 (rounded)

1.67 gallons of virgin oil to be added

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