Question 277817: A truck carrying
3600 cubic feet of cargo consisting of washing machines and refrigerators was hijacked. The washing machines are worth $300 each and are shipped in 36-cubic-foot cartons.
The refrigerators are worth $900 each and are shipped in
45-cubic-foot cartons. If the total value of the cargo was
$51,000, then how many of each was there on the truck?
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! 3,600=36x+45y multiply this equation by -20 & add.
51,000=300x+900y
-72,000=-720x-900y
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-21,000=-420x
x=-21,000/-420
x=50 washing machines were on the truck.
3,600=36*50+45y
45y=3,600-1,800
45y=1.800
y=1,800/45
y=40 refrigerators wer eon the truck.
Proof:
51,000=300*50+900*40
51,000=15,000+36,000
51,000=51,000
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