lauras coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs laura $4.40…

lauras coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs laura $4.40 per pound, and type b coffee costs $5.50 per pound. this month, laura made 154 pounds of the blend, for a total cost of $768.90. how many pounds of type b coffee did she use? number of pounds of type b coffee:

lauras coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs laura $4.40 per pound, and type b coffee costs $5.50 per pound. this month, laura made 154 pounds of the blend, for a total cost of $768.90. how many pounds of type b coffee did she use? number of pounds of type b coffee:

Answer

Answer:

71

Explanation:

Step1: Let variables

Let $x$ be pounds of type B coffee. Then pounds of type A coffee is $154 - x$.

Step2: Set - up cost equation

$4.4(154 - x)+5.5x = 768.9$

Step3: Expand the equation

$4.4\times154-4.4x + 5.5x=768.9$ $677.6+1.1x = 768.9$

Step4: Solve for $x$

$1.1x=768.9 - 677.6$ $1.1x = 91.3$ $x=\frac{91.3}{1.1}=71$