Bhuvan mixed 6.83 kg of cashews with 3.57 kg pistachios. He filled up a bag with the mixture, he had 0.35 kg of nuts left. What was the weight of nuts he had in the beginning? What was the weight of nuts filled in the bag?
Answers
Answer:
The weight of each bag filled by Brandon, is \fbox{\bf1.675\,lb}
1.675lb
.
Further explanation:
The amount of cashews and pistachios mixed are 6.83\,lb6.83lb and 3.57\,lb3.57lb 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\,lb0.35lb .
Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.
\begin{gathered}\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\\&=10.4-0.35\\&=10.05\\\end{aligned}\end{gathered}
Total mixture filled in six bags
=6.83+3.57−0.35
=10.4−0.35
=10.05
Now, this obtained amount of mixture weighing 10.05\,lb10.05lb 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{gathered}\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\\&=1.675\\\end{aligned}\end{gathered}
Total mixture filled in each bags
=
6
10.05
=1.675
Thus, the weight of each of the six bags that Brandon fills, is \fbox{\bf1.675\,lb}
1.675lb
.
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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.