SOLUTION: One group of customers bought 7 deluxe​ hamburgers, 5 orders of large​ fries, and 6 large colas for ​$24.30. A second group ordered 9 deluxe​ hamburgers, 5 large​ fries,

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Question 1154613: One group of customers bought 7 deluxe​ hamburgers, 5 orders of large​ fries, and 6 large colas for ​$24.30. A second group ordered 9 deluxe​ hamburgers, 5 large​ fries, and 7 large colas and paid ​$29.30. Is there sufficient information to determine the price of each food​ item? Assume that the hamburgers cost between​ $1.50 and​ $2.50, the fries between​ $0.50 and​ $1.50, and the colas between​ $0.60 and​ $0.90.
Answer by greenestamps(13200) About Me  (Show Source):
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No, there is not enough information.

The difference between the two purchases is 2 burgers and 1 soda for an additional $5.

It is possible to choose different costs of burgers and sodas in the specified ranges that satisfy that and yield prices for the fries that are also in the required range. E.g.,...

Choose $0.60 for the cost of a soda --> cost of a burger is $2.20 --> cost of a fries is $1.06

or...

Choose $0.90 for the cost of a soda --> cost of a burger is $2.05 --> cost of a fries is $0.91