High School

Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $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 :

Solving for the pounds of type B coffee in Raina's Coffee Shop blend and Raina used 99 pounds of type B coffee.

The cost equation for Raina's Coffee Shop blend:

Let x = pounds of type A coffee

156 - x = pounds of type B coffee

4.25x + 5.60(156 - x) = 796.65

4.25x + 873.60 - 5.60x = 796.65

-1.35x = -76.95

x = 57

Therefore, Raina used 99 pounds of type B coffee.

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