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Bunuel
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If 1 Kg of Peanuts is 20 % of total weight, then the total weight T=5 kg;
Total weight = 4 kg Cashews + 1kg peanuts;
The weight of cashews will remain the same after x kg of peanuts is added to the mix;

So, the final mixture will have 60% of Peanuts by weight and 40 % of cashews
40% Total weight = 4kg(as the weight of cashews is the same)
100 percent of Total Weight is 10kg
So, 6kg of peanuts is present in the final mix. Of which 5kg is added additionally.
Option D is the answer
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\(1\) pound of peanuts are added to cashews to create a mix that is \(20\)% peanuts by weight.
If the weight of the mixture is \(x\) pounds, then \(20\)% of the weight of the mixture (\(x\)) should be equal to \(1\) pound.
\(\frac{20}{100}*x=1\)
The weight of the mixture, \(x\), is \(5\) pounds.

Lets say we need to add \(y\) pounds of peanuts to make the mixture \(60\)% peanuts by weight, then \(60\)% of the weight of the new mixture \((5+y)\), should be equal to the weight of the peanuts in the mixture \((1+y)\).
\(\frac{60}{100}*(5+y) = 1+y\)

Solving for \(y\) gets us \(y=5\).
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let cashew= c pound and 1 pound of peanut is added to this c pound of cashews
we get mix with ratio of cashew and peanut as 4:1 respectively.

further we need a 60 percent peanut mixture where ratio of cashew and peanut would be 2:3 respectively.
after comparing both ratio we observe that amount of cashew should not be change because only peanuts are added. So to make cashew amount same we will multiply the second ratio by 2 and make it 4:6 . now the cashew amount is same and now we can see the difference in the amount of peanuts by comparing ratios 4:1 and 4:6. Here we can see peanuts increased from 1 to 6 means in ratio peanut increas3ed by 5.
as we know in ratio 4:1, 1 is equivalent to 1 pound (given) of peanut so 5 would be equivalent to 5 pounds
so option D is correct.
Bunuel
One pound of peanuts is added to a bin containing only cashews, and the resulting mix is 20 percent peanuts by weight. How many more pounds of peanuts must be added to the bin to create a mix that is 60 percent peanuts, by weight?

A. 2
B. 3
C. 4.75
D. 5
E. 5.25
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