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?
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 Dogs + 2 Burgers = 8.25 (1)
2 Dogs + 3 Burgers = 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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