Brandon mixed 6.83lb of cashews with 3.57lb of pistacios. after filling up 6 bags that were the same size with the mixture, he hadd 0.35lbof nuts left. what was the weight of each bag?

Answers

Answer 1

Answer:

The weight of each bag filled by Brandon, is $\fbox{\bf1.675\,lb}$ .

Further explanation:

The amount of cashews and pistachios mixed are $6.83\,lb$ and $3.57\,lb$ respectively then the total weight of mixture is the sum of cashews and pistachios.

After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is $0.35\,lb$ .

Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.

$\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\n&=10.4-0.35\n&=10.05\n\end{aligned}$

Now, this obtained amount of mixture weighing $10.05\,lb$ is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,

$\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\n&=1.675\n\end{aligned}$

Thus, the weight of each of the six bags that Brandon fills, is $\fbox{\bf1.675\,lb}$ .

Learn more:

1. Linear equation application brainly.com/question/2479097

2. Composite functions brainly.com/question/2142762

3. Linear equation application brainly.com/question/2479097

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.

Answer 2

Answer:
weight of mixture = 6.83+3.57=10.40lb

amount left= 0.35lb
rest = 10.4-0.35= 10.05lb
rest is filled in 6 bags.
weight in each bag=10.05/6= 1.675lb

hence weight of each bag is 1.675lb

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