Question 71528

Let x=number of lbs of $2.20 meat
Then 50-x=number of lbs of $4.20 meat

cost of $2.20 meat + cost of $4.20 meat must = cost of final mixture

So, our equation to solve is:

$2.20x+$4.20(50-x)=$3.00(50) get rid of parens

$2.20x+$210-$4.20x=$150  subtract $210 from both sides

$2.20x+$210-$210-$4.20x=$150-$210  collect like terms
-$2.00x=-$60.00  divide both sides by -$2.00
x=30 lb ----------------------------------number of lbs of $2.20 meat

50-x=50-30=20 lb----------------------------number of lbs of $4.20 meat

CK
30($2.20)+20($4.20)=50($3.00)
$66.00+$84.00=$150.00
$150.00=$150.00


Hope this helps---ptaylor