SOLUTION: Reggie works at Dunkin Doughnuts. A 10 oz cup of coffee costs $1.09, a 14 oz cup costs $1.29, and a 20 oz cup costs $1.49. During one busy period, Reggie served 34 cups of coffee

Question 34539: Reggie works at Dunkin Doughnuts. A 10 oz cup of coffee costs $1.09, a 14 oz cup costs $1.29, and a 20 oz cup costs $1.49. During one busy period, Reggie served 34 cups of coffee, emptying 5 96 oz pots while collecting $46.00. How many cups of each size did Reggie fill? Can this problem be solved? Why or Why not?
Answer by Prithwis(166) (Show Source): You can put this solution on YOUR website!
This problem cannot be solved.
There are three unknowns in this problem. They are the number of cups of each size for three different sizes;
Three consistent equations involving three variables are needed to solve this
Total number of cups of coffee sold ......(Eq 1)
Total money collected from the sell ......(Eq 2)
However, number of 96 oz pots involves one variable only.

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