SOLUTION: 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 cubit foot

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Question 122345This question is from textbook Intermediate Algebra
: 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 cubit foot cartons. The refrigerators are worth $900 each and are shipped in 45 cubit foot cartons. If the total value of the cargo was $51,000, then how many of each were on the truck? This question is from textbook Intermediate Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
36W+45R=3,600 OR 36W=3600-45R OR W=(3,600-45R)/36
300W+900R=51,000
NOW REPLACE W WITH(3,600-45R)/36 IN THE SECOND EQUATION.
300(3,600-45R)/36+9,00R=51,000
(1,080,000-13,500R)/36+900R=51,000
(1,080,000-13,500R)/36=51,000-900R
NOW CROSS MULTIPLY.
1,080,000-13,500R=36(51,000-900R)
1,080,000-13,500R=1,836,000-32,400R
-13,500R+32,400R=1,836,000-1,080,000
18,900R=756,000
R=756,000/18,900
R=40 REFRIGERATORS.
W=(3600-45*40)/36
W=(3600-1800)/36
W=1800/36
W=50 NUMBER OF WASHERS.
PROOF
300*50+900*40=51,000
15,000+36,000=51,000
51,000=51,000