SOLUTION: A nut shop sells almonds for $1.80 a pound, walnuts for $1.30, and peanuts for $.65 a pound. the shopkeeper makes a mixture of 21 pounds of these nuts to sell for $1.00 a pound. he
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Question 697694: A nut shop sells almonds for $1.80 a pound, walnuts for $1.30, and peanuts for $.65 a pound. the shopkeeper makes a mixture of 21 pounds of these nuts to sell for $1.00 a pound. he used twice as many pounds of peanuts as walnuts. how much of each kind of nut did he use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of almonds needed
Let = pounds of walnuts needed
Let = pounds of peanuts needed
given:
(1)
(2) ( the is $1/pound )
(3)
-------------
This is 3 equations with 3 unknowns, so it's solvable
(2)
(2)
(2)
----------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
Substitute this result and (3) into (1)
(1)
(1)
(1)
(1)
(1)
(1)
and, since
(3)
(3)
(3)
and
(1)
(1)
(1)
(1)
3 pounds of almonds are needed
6 pounds of walnuts are needed
12 pounds of peanuts are needed
check answer:
(2)
(2)
(2)
(2)
OK
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