SOLUTION: The owner of a candy store wanted to mix peanuts selling for $2 per pound, cashews selling for $9 per pound, and Brazil nuts selling for $7 per pound to get 50 pounds of a mixture

Question 502773: The owner of a candy store wanted to mix peanuts selling for $2 per pound, cashews selling for $9 per pound, and Brazil nuts selling for $7 per pound to get 50 pounds of a mixture that would sell for $5.20 per pound. She used 15 fewer pounds of cashews than peanuts. How many pounds of each did she use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of peanuts needed
Let = pounds of cashews needed
Let = pounds of Brazil nuts needed
given:
(1)
(2)
(3)
----------------
(2)
Multiply both sides of (1) by and
subtract (2) from (1)
(1)
(2)

Substitute (3) into this result

and, since
(3)
(3)
(3)
and, since
(1)
(1)
(1)
(1)
20 pounds of peanuts are needed
5 pounds of cashews are needed
25 pounds of Brazil nuts are needed
check answer:
(2)
(2)
(2)
(2)
(2)
OK
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