Question

Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.25 per pound, and type B coffee costs $5.40 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $451.50. How many pounds of type A coffee were used

Answer 1

30 pounds of coffee A and 60 pounds of coffee B used.

According to statement

Type A coffee costs Charmaine $4.25 per pound

Type B coffee costs $5.40 per pound.

Total cost of month on coffee is $451.50

AND

B=2A -(1)

Let's form the equation

4.25A + 5.40B = 451.50

Put equation 1 in it then

4.25A + 5.40*2A = 451.50

15.05A = 451.50

A = 30 pounds then

B = 60 pounds.

So, 30 pounds of coffee A and 60 pounds of coffee B used.

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