SOLUTION: A butcher combines 100 lb of hamburger that costs $2.40 per pound with 60 lb of hamburger that costs $3.20 per pound. Find the cost of the hamburger mixture.

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Question 71685This question is from textbook Algebra:Introductory and Intermediate
: A butcher combines 100 lb of hamburger that costs $2.40 per pound with 60 lb of hamburger that costs $3.20 per pound. Find the cost of the hamburger mixture. This question is from textbook Algebra:Introductory and Intermediate

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=cost of hamburger mixture
Now we know that the cost of the $2.40 mixture (100*2.40) plus the cost of the $3.20 mixture(60*3.20) must equal the cost of the final mixture (160x). So our equation to solve is:
(100)($2.40)+(60)($3.20)=160x get rid of parens
$240+$192=160x collect like terms
$432=160x divide both sides by 160
x=$2.70 per pound-----------------------------cost of final mixture
CK
100(2.40)+60(3.20)=160(2.70)
240+192=432
432=432

Hope this helps----ptaylor