SOLUTION: You have one type of candy that sells for $1.50/lb and another type of candy that sells for $6.80/lb. You would like to have 31.8 lbs of a candy mixture that sells for $5.50/lb. Ho

Question 1060013: You have one type of candy that sells for $1.50/lb and another type of candy that sells for $6.80/lb. You would like to have 31.8 lbs of a candy mixture that sells for $5.50/lb. How much of each candy will you need to obtain the desired mixture?

Thank you for your help
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $1.50/lb candy needed
Let = pounds of $6.80/lb candy needed
--------------------------------------------
(1)
(2)
--------------------------------------
(2)
(2)
(2)
-----------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(1)
(1)
---------------------------------
(2)
(1)
-----------------------------

and
(1)
(1)
--------------------------
7.8 pounds of $1.50/lb candy needed
24 pounds of $6.80/lb candy needed
--------------------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK

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