SOLUTION: The manager of a candy shop wishes to mix candy worth $4 per pound, $6 per pound and $10 per pound to get 100 pounds of a mixture worth $7.60 per pound. The amount of $10 candy mus
Question 448512: The manager of a candy shop wishes to mix candy worth $4 per pound, $6 per pound and $10 per pound to get 100 pounds of a mixture worth $7.60 per pound. The amount of $10 candy must equal the total amounts of the $4 and $6 candy. how many ounds of each must he use? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = pounds of $4 candy needed
Let = pounds of $6 candy needed
Let = pounds of $10 candy needed
given:
(1)
(2)
(2)
(2)
(3)
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There are 3 equations and 3 unknowns, so it's solvable
(3)
(3)
Add (3) and (1)
(1)
(3)
From (3),
Substitute this into (2)
(2)
(2)
(2)
Multiply both sides of (3) by
and subtract (3) from (2)
(2)
(3)
and, since
20 pounds of $4 candy are needed
30 pounds of $6 candy are needed
50 pounds of $10 candy are needed
check answer:
(2)
(2)
(2)
(2)
OK
