SOLUTION: Jack in the box offers three different types of burgers: the hamburger, the double cheeseburger and the jumbo jack. The track team went to the local jack in the box on three differ

Question 177565: Jack in the box offers three different types of burgers: the hamburger, the double cheeseburger and the jumbo jack. The track team went to the local jack in the box on three different occasions. The first time they ordered 3 hamburgers, 5 double cheeseburgers, and 6 jumbo jacks and paid $29.75. The second time they ordered 2 hambugers, 7 double cheeseburgers, and 5 jumbo jacks at the same price and paid $29.25. The third time they ordered 4 hamburgers, 4 double cheeseburgers, and 7 jumbo jacks at the same price and paid $32. what was the price of each type of burger?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The first time they ordered 3 hamburgers, 5 double cheeseburgers, and 6 jumbo jacks and paid $29.75.
The second time they ordered 2 hambugers, 7 double cheeseburgers, and 5 jumbo jacks at the same price and paid $29.25.
The third time they ordered 4 hamburgers, 4 double cheeseburgers, and 7 jumbo jacks at the same price and paid $32.
What was the price of each type of burger?
-------------
3h + 5c + 6j = 29.75
2h + 7c + 5j = 29.25
4h + 4c + 7j = 32.00
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Use any method you know to solve this system to get:
h = $1.00
c = $1.75
j = $3.00
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Cheers,
Stan H.

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