High School

Jose's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jose $4.55 per pound, and Type B coffee costs $5.60 per pound. This month, Jose made 147 pounds of the blend for a total cost of $735. How many pounds of Type A coffee did he use?

Answer :

Final answer:

Jose used 87 pounds of type A coffee in the blend. This was determined by setting up a system of equations based on the given information about total cost and total mass, and then solving for the unknowns.

Explanation:

This problem can be solved by setting up a system of equations. If we designate the amount of type A coffee as 'a' and the amount of type B coffee as 'b', we know two facts from the question:

  • 4.55a + 5.60b = 735 (equation based on total cost)
  • a + b = 147 (equation based on total lbs of coffee)

We can use the second equation to express 'a' in terms of 'b' as: a = 147 - b.We can then substitute '(147 - b)' for 'a' in the first equation, which gives us: 4.55(147 - b) + 5.60b =735. Solving this equation gives us b = 60. To find 'a', substitute b = 60 in the second equation: a = 147 -60 = 87 pounds. So, Jose used 87 pounds of type A coffee.

Learn more about system of equations here:

https://brainly.com/question/35467992

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