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A friend brought small bags of cookies to sell at a fairly large Holiday Bowl Game...

A friend brought small bags of cookies to sell at a fairly large Holiday Bowl Game Watch Party. Three kinds of cookies were sold: Stars (sold for $1 per bag), Circles (sold for $0.75 per bag) and Stars and Stripes (sold for $1.50 per bag). He brought the cookies to the Watch Party in three large boxes that were totally filled to capacity. By volume, it is a known fact that each bag of Stars fills up 1% of a box (1/100th), each bag of Circles fills up 1/120th of a box while each bag of Stars and Stripes fills up 1.25%of a box (1/80th). HINT: Don’t concern yourself with what each box held; view this as an aggregate limit of numbers of cookies.. All cookies brought were sold, a total of 300 bags. The total amount of money raised was $312. All bags of cookies brought in the boxes were sold. Can you determine how many of each of the three cookie types were brought?

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