SOLUTION: how many tons of hay at $125 per ton and $75 per ton must be purchased to have 100 tons of hay worth $9000?

Question 221223: how many tons of hay at $125 per ton and $75 per ton must be purchased to have 100 tons of hay worth $9000?
Found 2 solutions by sofiyac, josmiceli:
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!

so we have to solve this system of equations

divide both sides by -50

so we need 30 tons at $125/ton and 70 tons at $75/ton

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = tons of $125/ton hay used
Let = tons of $75/ton hay used
given:
(1)
(2)
---------------------------
Multiply both sides of (1) by and
subtract from (2)
(2)
(1)

and, since

30 tons of $125/ton hay and 70 tons of $75/ton hay
must be purchased
check:
(2)

OK

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