At a concession​ stand, seven hot dogs and two hamburgers cost ​$10.00​; two hot dogs and seven hamburgers cost ​$12.50. Find the cost of one hot dog and the cost of one hamburger.

Answer 1

2(7d + 2h = 10.00)

7(2d + 7h = 12.50)

14d + 4h = 20.00

-(14d + 49 h = 87.50)

-45h = -67.50

h = 1.50

7d + 2h = 10.00

7d + 2(1.50) = 10.00

7d + 3.00 = 10.00

7d = 7.00

d = 1.00