One pound of peanuts is added to a bin containing only cashews, and

Question

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

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

IshanSaini · Answer

Good Allegation Question !! : One pound of peanut < Keep it in mind for now> So we are mixing peanuts in cashews to create a 20% peanut mix. I.E. Peanuts to be mixed are 100% peanuts. Cashews in the jar are 0% peanuts

and the mix is 20% peanuts This gives 100 - 20 = 80 for the cashews Also 20 - 0 = 20 for the added peanuts Simplify this ratio and we get peanuts : Cashew = 1 : 4 This means that we have 1 pound peanut in 5 pound mix now to further solve this question we : \frac{1+x }{ 5 + x }= 3/5 Simplifies 60% and x refers to the amount of extra peanuts to be added: 5 + 5x = 15 + 3x 2x = 10 x = 5 Hence IMO 5 D)

youcouldsailaway · Answer

In this question, we will have to use Allegation twice.

First time - 100% of peanuts added to a bin containing only cashews (0% peanuts)

Second time - 100% of peanuts added to a bin containing 20% of peanuts.

Ilanchezhiyan · Answer

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

ODST117 · Answer

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 .

shaliny · Answer

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.

One pound of peanuts is added to a bin containing only cashews, and

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One pound of peanuts is added to a bin containing only cashews, and

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