Charlie's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs charlie $4.85 per pound, and type b coffee costs $5.95 per pound. this month, charlie made 150 pounds of the blend, for a total cost of $789.10 . how many pounds of type a coffee did he use?

94 pounds

Step-by-step explanation:

Let "a" represent the weight of type A coffee Charlie used. Then 150-a is the weight of the type B coffee. The total cost of the blend is then ...

... 4.85a +5.95(150 -a) = 789.10

... -1.10a +892.50 = 789.10 . . . . . . simplify

... -1.10a = -103.40 . . . . . . . . . . . . . .subtract 892.50

... a = 94 . . . . . . . . . . . . . . . . . . . . . divide by -1.10

Charlie used 94 pounds of type A coffee.