Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag? Check your work! Each bag weighed lb.

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Answer:

Each bag weighed 1.675 lbs.

Step-by-step explanation:

Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

Total mixture in 6 bags = [tex]6.83+3.57-0.35[/tex] = 10.05 lbs

Now, this weight is equally divided in 6 bags as the size of bags is same.

So, the amount of mixture in one bag is given as:

[tex]\frac{10.05}{6}[/tex]=1.675 lbs

Therefore, each bag weighed 1.675 lbs.

The weight of each bag is 1.675 lb

The total weight of the six bags is the sum of the weight of the pretzels and the popcorn less the weight of the mixture left

Weight of the six bags = weight of pretzels + weight of popcorn - weight of mixture left

6.83 + 3.57 - 0.35 = 10.05 lb

Weight of each bag = Weight of the six bags / number of bags

10.05 lb / 6 = 1.675 lb

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