SOLUTION: How many pounds of candy worth 50 cents a pound must be mixed with how many pounds of more expensive candy worth 90 cents a pound to create a 75-pound mixture worth 76 cents a poun

Question 638941: How many pounds of candy worth 50 cents a pound must be mixed with how many pounds of more expensive candy worth 90 cents a pound to create a 75-pound mixture worth 76 cents a pound?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of 50 cents/pound candy needed
Let = pounds of 90 cents/pound candy needed
given:
(1)
(2)
------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
26.25 pounds of 50 cents/pound candy are needed
48.75 pounds of 90 cents/pound candy are needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK
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