SOLUTION: a dockworker pays $30 for 10lb of seafood . It is made of two kinds of shrimp: large shrimp sells for $5 per pound and popcorn shrimp sells for $1 per pound, how many pounds of eac

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a dockworker pays $30 for 10lb of seafood . It is made of two kinds of shrimp: large shrimp sells for $5 per pound and popcorn shrimp sells for $1 per pound, how many pounds of eac      Log On


   

Question 1107676: a dockworker pays $30 for 10lb of seafood . It is made of two kinds of shrimp: large shrimp sells for $5 per pound and popcorn shrimp sells for $1 per pound, how many pounds of each kind are in the mixture
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of large shrimp
Let +b+ = pounds of popcorn shrimp
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(1) ++5a+%2B+1%2Ab+=+30+
(2) +a+%2B+b+=+10+
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Subtract (2)from (1)
(1) +5a+%2B+b+=+30+
(2) +-a+-+b+=+-10+
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+4a+=+29+
+a+=+7.25+
and
(2) +7.25+%2B+b+=+10+
(2) +b+=+2.75+
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7.25 pounds of large shrimp
2.75 pounds of popcorn shrimp