At a concession stand,three hot dog(s) and two hamburger(s) cost $8.25;two hot dog(s) and three hamburger(s) cost $8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?

Guest Jul 31, 2020

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*At a concession stand,three hot dog(s) and two hamburger(s) cost $8.25;two hot dog(s) and three hamburger(s) cost $8.00. Find the cost of one hot dog and the cost of one hamburger. What is the cost of one hot dog?*

3 **D**ogs + 2 **B**urgers = 8**.**25 (1)

2 **D**ogs + 3 **B**urgers = 8**.**00 (2)

Multiply equation (1) by 2 6D + 4B = 16**.**50 (3)

Multiply equation (2) by 3 6D + 9B = 24**.**00 (4)

Subtract equation (3) from (4) 5B = 7**.**50

Divide both sides by 5 B = 1**.**50 **One Burger costs $1.50**

Substitute 1**.**50 for B in (1) 3D + (2)(1**.**50) = 8**.**25

3D + 3**.**00 = 8**.**25

Subtract 3**.**00 from both sides 3D = 5**.**25

Divide both sides by 3 D = 1**.**75 **One Dog costs $1.75**

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Guest Jul 31, 2020