SOLUTION: At a concession​ stand, five hot dogs and four hamburgers cost ​$17.75​;four hot dogs and five hamburgers cost ​$18.25.Find the cost of one hot dog and the cost of one ham

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a concession​ stand, five hot dogs and four hamburgers cost ​$17.75​;four hot dogs and five hamburgers cost ​$18.25.Find the cost of one hot dog and the cost of one ham      Log On


   

Question 1166594: At a concession​ stand, five hot dogs and four hamburgers cost ​$17.75​;four hot dogs and five hamburgers cost ​$18.25.Find the cost of one hot dog and the cost of one hamburger.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
d, hotdog price
b , hamburger price

system%285d%2B4b=17.75%2C4d%2B5b=18.25%29
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You could choose either substitution or elimination method right away, but in this example, see what happens if you add the left members and equate to the add of the right side members:
9d%2B9b=36
and simplify this:
d%2Bb=4.

NOW, choosing either of the first two equation, and this simpler equation, choosing for elimination method may be a little easier to do.
system%28d%2Bb=4%2C5d%2B4b=17.75%29
You might almost see in your head here, d=1.75.
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