ANSWER
or
We have
Since we cannot factor easily, we complete the square.
Adding 2 to both sides give,
Dividing through by 3 gives
Adding
to both sides gives
The expression on the Left Hand side is a perfect square.
Splitting the plus or minus sign gives
or
4 pairs of pants for $18.
Divide price by quantity to get the cost of 1 pair of pants:
18 / 4 = 4.50 per pair.
Divide 27 by 4.50 to find number of pairs:
27 / 4.5 = 6
6 pairs of pants can be cleaned for $27.
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