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  • The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result

The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.

Answers (1)

Given: First reading = 8.48

          Second reading = 8.35

To find: Third reading

Solution:

Let ‘x’ be the third reading,

Now, average pH should be between 8.2 & 8.5

Average pH = (8.48 + 8.35 + x)/3

Thus,

8.2 <  (8.48 + 8.35 + x)/3 < 8.5

On multiplying each term by 3, we get,

24.6 < 16.83 + x < 25.5

Now, subtracting 16.83 from each term, we get,

7.77 < x < 8.67

Therefore, the third reading should be between 7.77 & 8.67.
 

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