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Bunuel
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How many pounds of nuts selling for 70 cents per pound must be mixed 05 Oct 2021, 08:30
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87% (01:47) correct 13% (01:55) wrong based on 113 sessions

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How many pounds of nuts selling for 70 cents per pound must be mixed with 30 pounds of nuts selling at 90 cents per pound to make a mixture that sells for 85 cents per pound?

(A) 10
(B) 12
(C) 15
(D) 20
(E) 24
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A
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How many pounds of nuts selling for 70 cents per pound must be mixed 05 Oct 2021, 08:34
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Can someone please explain how

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How many pounds of nuts selling for 70 cents per pound must be mixed 05 Oct 2021, 08:51
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Bunuel
How many pounds of nuts selling for 70 cents per pound must be mixed with 30 pounds of nuts selling at 90 cents per pound to make a mixture that sells for 85 cents per pound?

(A) 10
(B) 12
(C) 15
(D) 20
(E) 24
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\(70n + 30*90 = 85(n + 30) \)

Or, \(70n + 2700 = 85n + 2550\)

Or, \(150 = 15n\)

So, \(n = 10\), Thus answer must be (A)

gloriasc
Can someone please explain how

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Hope this helps you, feel free to revert in case of any doubt...
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How many pounds of nuts selling for 70 cents per pound must be mixed 05 Oct 2021, 08:52
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gloriasc
Can someone please explain how

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Let the pounds of nuts selling for 70 cents per pound (A) be= x grams.
And it's given that the other ones, selling for 90 cents/pound (B) = 30 grams.

This resultant mixture contains x grams of A and 30 gms of B.
So, the total number of grams of the resultant mixture = x + 30.

Now, the cost of the mixture will be a result of the individual costs of the two types of nuts:
A sells at the price of 70 cents per pound, so the total cost of the X grams of A = 70x.
Similarly, total price of the 30 gms of B = 30 * 90 = 270.

We are given that the resultant mixture sells for 85 cents/pound.
Hence we can deduce,

\(\frac{70x + 270}{x+90}=85\)

Solve this for x = 10 grams.
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How many pounds of nuts selling for 70 cents per pound must be mixed 05 Oct 2021, 12:10
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Bunuel
How many pounds of nuts selling for 70 cents per pound must be mixed with 30 pounds of nuts selling at 90 cents per pound to make a mixture that sells for 85 cents per pound?

(A) 10
(B) 12
(C) 15
(D) 20
(E) 24
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IMO, (A)!
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How many pounds of nuts selling for 70 cents per pound must be mixed 19 Aug 2023, 13:38
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