Question

At the baseball game, the Gregory’s bought 5 hot dogs and 2 hamburgers and paid $27.00. The Hart’s purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?

Answer 1

Answer:

$3.5

Step-by-step explanation:

Let us take the price of hot dogs as ' x ' and the price of hamburgers as ' y '.

Gregory's:  5 x + 2 y = 27 -----------------(1)

Hart's      :   3 x + 4 y = 29.5 --------------(2)

(1)*2 : 10 x + 4 y = 54 -------------------------(1)'

(1)' - (2) => 7 x = 24.5

                  x = 3.5

Therefore the price of one hot dog is $3.5 .