SOLUTION: The nutty shoppe has 10kg of mixed pecans and cashews which sell for $8.40 per kilogram. Cashews alone sell for $8.00 per kilogram, and pecans sell for $9.00 per kilogram. How many
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Question 596032: The nutty shoppe has 10kg of mixed pecans and cashews which sell for $8.40 per kilogram. Cashews alone sell for $8.00 per kilogram, and pecans sell for $9.00 per kilogram. How many kilograms of pecans are there in the mix?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kg of pecans
Let = kg of cashews
Cost of pecans used =
Cost of cashews used =
Cost of mixture =
---------------------------
(1)
(2)
-----------------
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
and, since
(2)
(2)
(2)
-------------
There are 4 kg of pecans in the mixture
check answer:
(1)
(1)
(1)
(1)
OK
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