Q:

Some students prepare 3 different snacks. They make 1/8 pound bags of nut mix, 1/4 pound bags of cherries, and 1/6 pound bags of dried fruit. If they buy 3 pounds of nut mix, 5 pounds of cherries, and 4 pounds of dried fruit, how many of each type of snack bag will they be able to make?

Accepted Solution

A:
Answer:24 bags, 20 bags and 24 bagsStep-by-step explanation:Students made a bag of nut mix by using = [tex]\frac{1}{8}[/tex] poundThey bought nut mix = 3 poundsthey will be able to make number of nut mix bags = [tex]\frac{3}{\frac{1}{8} }[/tex]                                                                       = [tex]\frac{3\times 8}{1}[/tex]                                                                       = 24 bagsStudents made a bag of cherries by using = [tex]\frac{1}{4}[/tex] poundThey bought cherries = 5 poundsthey will be able to make number of cherries bags = [tex]\frac{5}{\frac{1}{4} }[/tex]                                                                       = [tex]\frac{5\times 4}{1}[/tex]                                                                       = 20 bagsStudents make a bag of dried fruit by using = [tex]\frac{1}{6}[/tex] poundThey bought dried fruit = 4 poundsthey will be able to make number of dried fruit bags = [tex]\frac{4}{\frac{1}{6} }[/tex]                                                                       = [tex]\frac{4\times 6}{1}[/tex]                                                                       = 24 bagsStudents would be able to make 24 bags of nut mix, 20 bags of cherries and 24 bags of dried fruit.