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# help i have no idea

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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​?

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 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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Jul 31, 2020