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jeyben [28]
3 years ago
14

at a concession stand, seven hot dog(s) and four hamburger(s) cost $18.25; four hot dog(s) and seven hamburger(s) cost $17.50. F

ind the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?
Mathematics
1 answer:
horsena [70]3 years ago
6 0

The cost of one hot dog is $1.75

The cost of one hamburger is $1.5

<u>Step-by-step explanation</u>:

Let,

  • The cost of hot dog be 'x'.
  • The cost of hamburger be 'y'.

The equations can be formed as :

7x + 4y = 18.25  --------(1)

4x + 7y = 17.50  --------(2)

Multiply eq (1) by 4 and eq (2) by 7,

   28x + 16y = 73

- (<u>28x + 49y = 122.5)</u>

  <u>        - 33y = - 49.5</u>

y = 49.5/33

y = 1.5

The cost of one hamburger is $1.5

Substitute y=1.5 in eq (1),

7x + 4(1.5) = 18.25

7x = 18.25 - 6

x = 12.25/7

x = 1.75

The cost of one hot dog is $1.75

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