SOLUTION: Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95centsą​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. Du

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Question 1105318: Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95centsą​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 25 cups of​ coffee, using 354 ounces of​ coffee, while collecting a total of ​$29.35. How many cups of each size did Kyle​ fill?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95cents​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50.
During one busy​ period, Kyle served 25 cups of​ coffee, using 354 ounces of​ coffee, while collecting a total of ​$29.35. How many cups of each size did Kyle​ fill?
Equations:
Quantity:: s + m + L = 25 cups
Weight:: 10s + 14m + 20L = 354 ozs
Value:: 95s + 115m + 150L = 2995
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Solve the system by any method you know to get::
s = 11
m = 6
L = 8
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Cheers,
Stan H.
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