SOLUTION: Jessica's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jessica $4.20 per pound, and type B coffee costs $5.45 per pound. This month, Jess

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Question 904186: Jessica's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jessica $4.20 per pound, and type B coffee costs $5.45 per pound. This month, Jessica made 184 pounds of the blend, for a total cost of $894.05. How many pounds of type B coffee did she use?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=184,
4.2*a+5.45*b=894.05
a=184-b
4.2*(184-b)+5.45*b=894.05
772.8-4.2b+5.45*b=894.05
1.25*b=121.25
b=97.0
a=184-b
a=87.0 at $4.20 and b=97.0 at $5.45
check
87.0+97.0=184
4.2*a+5.45*b=894.05
4.2*87.0+5.45*97.0=894.05
365.4+528.65=894.05
894.05=894.05
ok