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
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