Question

Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ralna $4.25 per pound, and type B coffee costs $5.60 per pound. This month, Raina made 156 pounds of the blend, for a total cost of $796.65. How many pounds of type B coffee did she use?

Answer 1

Explanation:

Let's assume Raina used x pounds of type A coffee and (156 - x) pounds of type B coffee.

The cost of type A coffee is $4.25 per pound, so the total cost of type A coffee used would be 4.25x dollars.

The cost of type B coffee is $5.60 per pound, so the total cost of type B coffee used would be 5.60(156 - x) dollars.

According to the given information, the total cost of the blend is $796.65, so we can set up the equation:

4.25x + 5.60(156 - x) = 796.65

Let's solve this equation to find the value of x:

4.25x + 873.6 - 5.60x = 796.65

-1.35x = -76.95

x = -76.95 / -1.35

x ≈ 57

Therefore, Raina used approximately 57 pounds of type A coffee.

To find the pounds of type B coffee, we subtract the pounds of type A coffee from the total:

156 - x = 156 - 57 = 99

Raina used 99 pounds of type B coffee.