At a concession stand, seven hot dog (s )and two hamburger (s )cost $12.25; two hot dog (s )and seven hamburger (s )cost $14.75. find the cost of one hot dog and the cost of one hamburger.

The cost of hamburger is $1.75.

The cost of hot dog is $1.25

Step-by-step explanation:

Consider the provided information.

Seven hot dog (s )and two hamburger (s )cost $12.25;

Let the cost of hot dog is x.

The cost of hamburger is y.

Therefore,

......(1)

Two hot dog (s )and seven hamburger (s )cost $14.75.

......(2)

Use elimination method to solve the above equation.

Multiply equation 1 by 2 and multiply equation 2 by 7 and subtract them as shown:

Hence, the cost of hamburger is $1.75.

Now substitute the value of y in equation 1.

Hence, the cost of hot dog is $1.25

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