Question

At a concession stand, five hot dogs and two hamburgers cost $8.00; two hot dogs and three hamburgers cost $8.25. Find the cost of one hot dog and one hamburger.

Answer 1

5d + 2h = 8 ---->(3)
2d + 3h = 8.25 -->(-2)
-----------------
15d + 6h = 24 (result of multiplying by 3)
-4d - 6h = - 16.50 (result of multiplying by -2)
-----------------add
11d = 7.50
d = 7.50/11
d = .68

5d + 2h = 8
5(.68) + 2h = 8
3.40 + 2h = 8
2h = 8 - 3.4
2h = 4.60
h = 4.60/2
h = 2.30
check..
5d + 2h = 8
5(.68) + 2(2.30) = 8
3.40 + 4.60 = 8
8 = 8 (correct)

hotdogs (d) cost 0.68 cents per dog
hamburgers (h) cost $2.30 per burger