Question 954800
A+B=167lbs
A=167lbs-B
$4.35A+$5.70B=$846.60 Substitute for A
$4.35(167lbs-B)+$5.70B=$846.60
$726.45-$4.35B+$5.70B=$846.60 Subtract $726.45 from each side.
$1.35B=$120.15 Divide each side by $1.35.
B=89 lbs ANSWER: The mix contained 89 pounds of Type B coffee.
CHECK:
167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee.
$4.35A+$5.70B=$846.60
$4.35(78)+$5.70(89)=$846.60
$339.30+$507.30=$846.60
$846.60=$846.60