SOLUTION: a hamburger costs $0.30 more than a hot dog and $0.20 less than a cheeseburger if 3 hamburgers cost $0.75 less than two hot dogs and 2 cheeseburgers, how much does a hamburger cost

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Question 1105716: a hamburger costs $0.30 more than a hot dog and $0.20 less than a cheeseburger if 3 hamburgers cost $0.75 less than two hot dogs and 2 cheeseburgers, how much does a hamburger cost
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
h, price of hot dog
c, price of cheeseburger
h+0.3, price of hamburger
c-0.2, price of hamburger
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h%2B0.3=c-0.2
h=c-0.5


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if 3 hamburgers cost $0.75 less than two hot dogs and 2 cheeseburgers,
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3%2A%28h%2B0.3%29=-0.75%2B2h%2B2c
Note c can be written in terms of h.
3%28h%2B0.3%29=-0.75%2B2h%2B2%28h%2B0.5%29-------The question actually asks for h+0.3 for the hamburger's price but this should not be a serious inconvenience. Solve for h and then evaluate h+0.3.