SOLUTION: solve. a group of students takes their math teacher out for lunch. if five have hamburgers and three have hot dogs,the bill will be $24.25. if three have hamburgers and five have

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Question 381322: solve.
a group of students takes their math teacher out for lunch. if five have hamburgers and three have hot dogs,the bill will be $24.25. if three have hamburgers and five have hotdogs, the bill will be $21.75. what is the price of a hamburger?
my equations are
5hamburgers + 3hotdogs = $24.25 3 hamburgers + 5 hotdogs = $21.75

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Let b=price of a burger and d=price of a dog.
5b+3d=24.25
3b+5d=21.75
.
25b+15d=121.25 multiply by 5
-9b-15d=-65.25 multiply by -3
---------------add
16b=56
.
b=$3.50

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