SOLUTION: Making snacks with candy and cereal,how many pounds of candy at $6 per pound would be required to be mixed with cereal costing $8 a pound to create a 10 pound mixture costing $7.5

Question 708400: Making snacks with candy and cereal,how many pounds of candy at $6 per pound would be required to be mixed with cereal costing $8 a pound to create a 10 pound mixture costing $7.50 per pound.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of candy at $6 per pound needed
Let = pounds of candy at $8 per pound needed
given:
(1)
(2)
-----------------
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
2.5 pounds of candy at $6/pound are needed
7.5 pounds of candy at $8/pound are needed
check:
(1)
(1)
(1)
OK

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