Ol’-Time Quilts receives an order for a patchwork quilt made from square patches of three types: solid green, solid blue, and floral. The quilt is to be 8 squares, and there must be 15 times as many solid squares as floral squares. If Ol’-Time charges $3 per solid square, $5 per floral square, and if the customer wishes to spend exactly $300, how many of each type of square may be used in the quilt? Give a general solution stating any limitation on the parameter. Then provide two specific solutions and compare. Is one of those two solutions preferable over the other? If so, why might be the case? If not, why are the two specific solution equally preferable?

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