We appreciate your visit to Dale s Coffee Shop makes a blend that is a mixture of two types of coffee Type A coffee costs Dale 4 10 per pound. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
None of the provided options (A, B, C, D) match the calculated amount of type B coffee used in Dale's blend, which is 69 pounds. This suggests there might be an error in the question or answer choices.
Explanation:
To determine how many pounds of type B coffee Dale used, we can set up a system of equations based on the given information. Let's denote the amount of type A coffee as A pounds and the amount of type B coffee as B pounds. We're told that Dale made 165 pounds of the blend and that the total cost was $793.80. The cost per pound of type A and type B coffee is $4.10 and $5.80, respectively.
Our two equations based on the information provided are:
- A + B = 165 (the total weight of the blend)
- 4.10A + 5.80B = 793.80 (the total cost of the blend)
We can solve these equations using substitution or elimination. Let's use the elimination method:
Multiply the first equation by 4.10 to align the cost of A in both equations:
- 4.10A + 4.10B = 676.50
- 4.10A + 5.80B = 793.80
Subtract the first new equation from the second one to eliminate A:
- (5.80 - 4.10)B = 793.80 - 676.50
- 1.70B = 117.30
- B = 117.30 / 1.70
- B = 69
Since B represents the amount of type B coffee, Dale used 69 pounds of type B coffee. This is not one of the options provided (A, B, C, D), which indicates a possible error in the question statement or the answer options.
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