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Given that the average high temperature for x days is 70 degrees, the sum of those x high temperatures would be 70x. Adding the temperature of the additional day, which is 75 degrees, the total sum becomes 70x+75.
To determine the value of xx, we can use the average formula: Average =Total / Number of items. In this context, the average is 71, the total is 70x+75, and there are x+1 days in total.
Substituting these values into the formula, we get: 71=(70x+75)/(x+1)
To solve for xx, we cross-multiply to obtain 71x+71=70x+75. Simplifying this equation yields x=4.
Hence, Quantity B (5) is greater. The correct answer is (B).