SOLUTION: Ravi’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi $5.55 per pound, and type B coffee costs $4.35 per pound. This month, Ravi mad
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Question 1205254: Ravi’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi $5.55 per pound, and type B coffee costs $4.35 per pound. This month, Ravi made 125 pounds of the blend, for total cost of $626.55. How many pounds of type B coffee did he use?
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Ravi’s Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi $5.55 per pound,
and type B coffee costs $4.35 per pound. This month, Ravi made 125 pounds of the blend, for total cost of $626.55.
How many pounds of type B coffee did he use?
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Let "b" be the pounds of coffee B (the unknown value under the problem's question).
Then the pounds of coffee A is (125-b).
Write the total cost equation
5.55(125-b) + 4.35b = 626.55.
Simplify and find "b"
5.55*125 - 5.55b + 4.35b = 626.55
-5.55b + 4.35b = 626.55 - 5.55*125
-1.2b = -67.2
b = -67.2/(-1.2) = 56.
ANSWER. 56 pounds of coffee B.
Solved.
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In this site, there is entire bunch of lessons covering various types of mixture problems.