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Cookie Orders A cookie company makes three kinds ofcookies (oatmeal raisin, chocolate chip, and shortbread)packaged in small, medium, and large boxes. The smallbox contains 1 dozen oatmeal raisin and 1 dozen chocolatechip; the medium box has 2 dozen oatmeal raisin, 1 dozenchocolate chip, and 1 dozen shortbread; the large boxcontains 2 dozen oatmeal raisin, 2 dozen chocolate chip, and3 dozen shortbread. If you require exactly 15 dozen oatmealraisin, 10 dozen chocolate chip, and 11 dozen shortbread,how many of each size box should you buy?

College Algebra

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 9P

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Cookie Orders A cookie company makes three kinds of
cookies (oatmeal raisin, chocolate chip, and shortbread)
packaged in small, medium, and large boxes. The small
box contains 1 dozen oatmeal raisin and 1 dozen chocolate
chip; the medium box has 2 dozen oatmeal raisin, 1 dozen
chocolate chip, and 1 dozen shortbread; the large box
contains 2 dozen oatmeal raisin, 2 dozen chocolate chip, and
3 dozen shortbread. If you require exactly 15 dozen oatmeal
raisin, 10 dozen chocolate chip, and 11 dozen shortbread,
how many of each size box should you buy?

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5. A coffee merchant sells three blends of coffee. A bag of the house blend contains 300 grams of Colombian beans and 200 grams of French roast beans. A bag of the special blend contains 200 grams of Colombian beans, 200 grams of Kenyan beans, and 100 grams of French roast beans. A bag of the gourmet blend contains 100 grams of Colombian beans, 200 grams of Kenyan beans, and 200 grams of French roast beans. The merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 25 kilograms of French roast beans. If he wishes to use up all of the beans, how many bags of each type of blend can be made?
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