Quick Sell Outlet sold a total of \(40\) televisions, each of which was either a Model \(P\) television or a Model \(Q\)

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Quick Sell Outlet sold a total of \(40\) televisions, each of which was either a Model \(P\) television or a Model \(Q\) television. Each Model \(P\) television sold for \(\$p\) and each Model \(Q\) sold for \(\$q.\) The average (arithmetic mean) selling price of the \(40\) televisions was \(\$141.\) How many of the \(40\) televisions were Model \(P\) televisions?

1) the Model \(P\) televisions sold for \(\$30\) less than the Model \(Q\) televisions.

2) Either \(p=120\) or \(q=120.\)

Answer: C

Source: GMAT Prep