ExplanationReducing a number by a percent involves multiplication; reducing a number by a fixed amount involves subtraction. The order of operations (PEMDAS) will make a difference.

One possible value for the item is $100. In this case, the value of Quantity A = ($100)(0.9) – $20 = $70. The value of Quantity B = ($100 – $10)(0.80) = $72. Here, Quantity B is greater.

However, a greater starting value may change the result, because a 20% discount off a greater starting value can result in a much greater decrease. For a $140 item, the value of Quantity A = ($140)(0.9) – $20 = $106. The value of Quantity B = ($140 – $10)(0.80) = $104.

Here, Quantity A is greater. The relationship cannot be determined from the information given.

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