SOLUTION: word problems At Barney's Takeout Service, the price of an order of french fries is one-half the price of a cheeseburger. An order of five cheeseburgers and three servings of f

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Question 1114162: word problems
At Barney's Takeout Service, the price of an order of french fries is one-half the price of a cheeseburger. An order of five cheeseburgers and three servings of french fries comes to $10.40 (without tax). What is the cost of a cheeseburger?

Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
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If p is price of Frenchfires and 2p is price of one cheeseburger, then .

80 cents for french fries
1.60 dollars for cheeseburger

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
At Barney's Takeout Service, the price of an order of french fries is one-half the price of a cheeseburger. An order of five cheeseburgers and three servings of french fries comes to $10.40 (without tax). What is the cost of a cheeseburger?
Equations:
f = (1/2)c
5c + 3f = 1040 cents
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Substitue and solve for "c":
5c + (3/2)c = 1040
10c + 3c = 2080
13c = 2080
Ans: c = 160 cents = $1.60
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Cheers,
Stan H.
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Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

word problems
At Barney's Takeout Service, the price of an order of french fries is one-half the price of a cheeseburger. An order of five cheeseburgers and three servings of french fries comes to $10.40 (without tax). What is the cost of a cheeseburger?

Let cost of an order of french fries and a burger be F, and B, respectively
Then we get: ------ eq (i)
Also, 5B + 3F = 10.4 ------ eq (ii)
------ Substituting for F in eq (ii)
10B + 3B = 20.8 ------- Multiplying by LCD, 2
13B = 20.8
B, or cost of a cheeseburger =