We appreciate your visit to Kira s Coffee Shop makes a blend that is a mixture of two types of coffee Type A coffee costs Kira 5 85 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:
The given problem is a system of two equations dealing with the mixture of two coffee types. By applying mathematical techniques, we found that Kira used approximately 93 pounds of type A coffee for the blend.
Explanation:
The subject of math in this scenario can be addressed by the concept of simultaneous linear equations in two variables, specifically, a mixture problem. Let us denote pounds of type A coffee by x and pounds of type B coffee by y. According to the question, Kira made 172 pounds of the blend, that leads to equation 1: x + y = 172.
The other equation can be formed from the information about the total cost of the blend, using the cost per pound of each type of coffee: 5.85x + 4.55y = 903.50. Now we have a system of two equations.
To solve the system, one can choose either substitution or elimination method. In our case, elimination is convenient. If we multiply the first equation by 4.55 and subtract it from the second, we get x = (903.50 - 782.6) / 1.3 = 92.85. Hence, Kira used approximately 93 pounds of type A coffee.
Learn more about Systems of Equations here:
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Rewritten by : Barada
So we know that she’s making a blend of Type A and Type B coffee.
If Type A = $5.85 per pound
And type B = $ 4.55 per pound,
Both type A and B together ( the mix ) is 10.4 per 2 pounds. To figure out what one pound of the mix costs you would have to divide $10.4 by 2 which gets you $5.2 per 1 pound of mixed coffee.
If this month Kira made $903.50 she made a pound of her mix 173.75 times,
5.2 X 173.75 = 903.50
So I belive if you want to know how much of type A she used you would have to separate Type A from Type B in 173.75 which gets you 86.875
So, correct me if I’m wrong but I believe Kira used 86.875 pounds of Type A coffee
If Type A = $5.85 per pound
And type B = $ 4.55 per pound,
Both type A and B together ( the mix ) is 10.4 per 2 pounds. To figure out what one pound of the mix costs you would have to divide $10.4 by 2 which gets you $5.2 per 1 pound of mixed coffee.
If this month Kira made $903.50 she made a pound of her mix 173.75 times,
5.2 X 173.75 = 903.50
So I belive if you want to know how much of type A she used you would have to separate Type A from Type B in 173.75 which gets you 86.875
So, correct me if I’m wrong but I believe Kira used 86.875 pounds of Type A coffee
