SOLUTION: Maya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maya $4.35 per pound, and type B coffee costs $5.70 per pound. This month, Maya mad

Question 954800: Maya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maya
$4.35 per pound, and type B coffee costs $5.70 per pound. This month, Maya made 167 pounds of the blend, for a total cost of $846.60. How many pounds of type B coffee did she use?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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
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