SOLUTION: bills coffee shop makes a blend that is a mixture of two types of coffee. Type a coffee costs bill $5.70 per pound and type b coffee costs $4.65 per pound. This month bill made 1

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Question 983111: bills coffee shop makes a blend that is a mixture of two types of coffee. Type a coffee costs bill $5.70 per pound and type b coffee costs $4.65 per pound. This month bill made 181 pounds of the blend, for a total cost of $943.50. How many pounds of type A coffee did he use?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
bills coffee shop makes a blend that is a mixture of two types of coffee. Type a coffee costs bill $5.70 per pound and type b coffee costs $4.65 per pound. This month bill made 181 pounds of the blend, for a total cost of $943.50. How many pounds of type A coffee did he use?
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Equation:
value + value = value
5.7a + 4.65b = 943.50
a + b = 181
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Substitute for "b" and solve for "a"::
5.7a + 4.65(181-a) = 943.50
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5.7a + 841.65 - 4.65a = 943.50
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101.85/1.05 = a
a = 97 lbs (amt. of A used in the blend)
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Cheers,
Stan H.
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