Question 105369: This is in inequalities, I don't know how to start this
At Burger Brothers the price of a hamburger is twice the price of an order of french fries and the price of a coke is $0.40 more than the price of the fries. Burger Brothers advertises that you get a complete meal, burger, fries and a coke for under $4.00 What is the price range of a order of fries?
Thanks for any help settting on my way.
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Start by letting H = the price of a hamburger, F = the price of french fries, and C = the price of a Coca Cola.
From the problem description, you can write:
H = 2F "The price of a hamburger (H) is (=) twice the price of french fries (2F)"
C = F+$0.40 "The price of a Coca Cola (C) is (=) 40 cents more than the price of french fries (F+$0.40)"
Now the sum of these three items can be had for less than $4.00 (<$4.00), so we can write the inequality:
H+F+C < $4.00 Now we substitute H = 2F and C = F+$0.40 to get:
2F+F+F+$0.40 < $4.00 Combining like-terms, we get:
4F+$0.40 < $4.00 Subtracting $0.40 from both sides of the inequality, we have:
4F < $3.60 Dividing both sides by 4, we end up with:
F < $0.90 or, in words, the price of french fries is no more than $0.90
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