SOLUTION: carl manages a highway department garage in maine. a mixture of salt and sand is stored in the garage for use during the winter. carl needs 24 tons of a salt/sand mixture that is 2

Question 732980: carl manages a highway department garage in maine. a mixture of salt and sand is stored in the garage for use during the winter. carl needs 24 tons of a salt/sand mixture that is 25% salt. he will combine shipments of 15% salt and shipments of 30% salt to achieve the desired 24 tons. how much of each type should he use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = tons of 15% salt needed
Let = tons of 30% salt needed
given:
(1)
(2)
----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
---------------------
(2)
(1)

and, since
(1)
(1)
8 tons of 15% salt are needed
16 tons of 30% salt are needed
check:
(2)
(2)
(2)
(2)
(2)
(2)
OK

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