SOLUTION: Help with word problem for Algebra 1 The nutty food company sells trail mixes by the pound. There are peanuts, raisin, ans carob-coated pretzels. The mgr. wants to make 80 pound

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Question 220473: Help with word problem for Algebra 1
The nutty food company sells trail mixes by the pound. There are peanuts, raisin, ans carob-coated pretzels. The mgr. wants to make 80 pounds of this mixture and sell it for $3.35 per pound. Peanuts sell for $ $3.20 per pound, raisins sell for $ 2.40 per pound, and the carob pretzels sell for for $4.00 per pound. If the mixture has TWICE as many pounds of pretzels as raisons, how many pounds of each ingredient should the clerk use?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = pounds of peanuts needed
Let = pounds of raisins needed
Let = pounds of carob pretzels needed
given:
(1)
(2)
(2)
Cost of peanuts in mixture =
Cost of raisins in mixture =
Cost of Carob pretzels in mixture =
--------------------------------------------
(3)
(3) (units are cents)
Multiply both sides of (1) by and
subtract from (3)
(3)
(1)

Divide both sides by

Substitute this result and (2) in (1)
(1)

and

and

The clerk should use 35 lbs of peanuts, 15 lbs of raisins,
and 30 lbs of carob-coated pretzels
check answer:

OK