SOLUTION: Keith works at coffee shop, where a 10 oz cup of coffee costs $1.05, a 14oz cup of coffee costs $1.35, and a 20 oz cup of coffee costs $1.65. During a busy day, Keith served 34 cup

Question 130046: Keith works at coffee shop, where a 10 oz cup of coffee costs $1.05, a 14oz cup of coffee costs $1.35, and a 20 oz cup of coffee costs $1.65. During a busy day, Keith served 34 cups of coffee, emptying five 96 oz pots while collecting a total of $45. How many cups of each size did Keith fill?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of 10 oz cups
= number of 14 oz cups
= number of 20 oz cups

(1)
(2)
(3)
From (2):
(4)
Substitute this in (1)
(1)

(5)
Substitute (4) and (5) in (3)
(3)

substitute (5) for

(5)

(4)

Keith filled 10 oz cups, 14 oz cups,
and 20 oz cups
check answer:
(1)

(2)

(3)

OK
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