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20 Dec 2025, 07:40
Kudos
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Since the mixture costs 25 per pound with 25% margin, the cost for the seller is \(25/1.25 = 20\) dollars. From these 20 dollars, \(6/11\) of a pound is almonds, and \(5/11\) of a pound is pistachios.
Therefore, if almonds cost a per pound, and pistachios cost p, then \(p=a-11\), since the amonds are 11 dollars more expensive per pound.
Finally, our total cost of 20 dollars is \(20=\frac{5p}{11} + \frac{6a}{11 }= \frac{5(a-11)}{11} +\frac{ 6a}{11 }= \frac{5a-55+6a}{11 }= \frac{11a-55}{11}=a-5\)
Therefore, \(a =20+5=25 \) dollars. The answer is C.
Therefore, if almonds cost a per pound, and pistachios cost p, then \(p=a-11\), since the amonds are 11 dollars more expensive per pound.
Finally, our total cost of 20 dollars is \(20=\frac{5p}{11} + \frac{6a}{11 }= \frac{5(a-11)}{11} +\frac{ 6a}{11 }= \frac{5a-55+6a}{11 }= \frac{11a-55}{11}=a-5\)
Therefore, \(a =20+5=25 \) dollars. The answer is C.
20 Dec 2025, 07:52
Kudos
Bookmarks
if profit is 25%:
cost*(1 + 25/100) = 25
cost*1.25 = 25
cost = 20
weitghted cost per pound:
(6*almonds + 5*pistachios)/11 = 20
6*(pistachios + 11) + 5*pistachios = 220
11*pistachios + 66 = 220
11*pistachios = 154
pistachios = 14
almonds = pistachios+11 = 14+11 = 25
Answer C
cost*(1 + 25/100) = 25
cost*1.25 = 25
cost = 20
weitghted cost per pound:
(6*almonds + 5*pistachios)/11 = 20
6*(pistachios + 11) + 5*pistachios = 220
11*pistachios + 66 = 220
11*pistachios = 154
pistachios = 14
almonds = pistachios+11 = 14+11 = 25
Answer C
20 Dec 2025, 07:53
Kudos
Bookmarks
The selling price per pound of the mixture is 25$ at 25% profit. This means cost pric eper pound is 20$ ....(1)
Let the cost of pistachios be p.
Then cost of 11 pound mixture = (6*(p+11)) + 5*p) = 11p + 66
Cost of 1 pount mixture = 66/11 = p + 6.
We know that this is equal to 20$ from equation 1.
So, p = 14. This gives cost of almonds per pound as 14 + 11 = 25
Let the cost of pistachios be p.
Then cost of 11 pound mixture = (6*(p+11)) + 5*p) = 11p + 66
Cost of 1 pount mixture = 66/11 = p + 6.
We know that this is equal to 20$ from equation 1.
So, p = 14. This gives cost of almonds per pound as 14 + 11 = 25
Bunuel
