Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 28 cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).

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8.5.17
Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $150. During one busy period, Kyle served 28
cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill?
Kyle filled
10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).
orrec
ess
Library
Enter your answer in the edit fields and then click Check Answer.
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Transcribed Image Text:8.5.17 Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $150. During one busy period, Kyle served 28 cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s). orrec ess Library Enter your answer in the edit fields and then click Check Answer. Check Answer Clear All
Expert Solution
Step 1

Let 

x, y and z are the number of 10 oz, 14 oz and 20 oz  cups sold respectively.

Kyle served 28 cups of coffee.

So, total number of coffee sold 

          x + y + z = 28 ------------------------ (1)

Total coffee consumed 424 ounces

      10x + 14y + 20z = 424 ------------------- (2)

Total cost is $ 34.40

     0.95 x + 1.15 y + 1.50z = 34.40 ---------------- (3)

        

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