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a group buys 6 hot dogs and 3 hamburgers for a total of $27.75. the hamburgers cost $1.75 more than a hot dog. what is he cost of the hamburger

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Answer:

Cost of one hamburger = $4.25

Step-by-step explanation:

Let,

Cost of one hot dog = x

Cost of one hamburger = y

According to given statement;

6x + 3y = 27.75      Eqn 1

y = x + 1.75             Eqn 2

Putting value of y from Eqn 2 in Eqn 1

6x + 3(x+1.75) = 27.75

6x + 3x + 5.25 = 27.75

9x = 27.75 - 5.25

9x = 22.50

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{22.50}{9}\\x=2.50[/tex]

Putting x=2.50 in Eqn 2

y = 2.50 + 1.75

y = 4.25

Hence,

Cost of one hamburger = $4.25

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