Jamie placed two orders with a restaurant. The first order was for 24 hamburgers and 22 hotdogs totaling $110.50. The second order was for 30 hamburgers and 48 hotdogs totaling $174. How much did Jamie pay for 3 hot dogs?

the price of one hamburger is $3

The the price of one hot dog is $1.75

Step-by-step explanation:

Let x represent the price of one hamburger.

Let y represent the price of one hot dog.

The first order was for 24 hamburgers and 22 hotdogs totaling $110.50. It means that

24x + 22y = 110.5- - - - - - - - - - -1

The second order was for 30 hamburgers and 48 hotdogs totaling $174. It means that

30x + 48y = 174- - - - - - - - -2

Multiplying equation 1 by 30 and equation 2 by 24, it becomes

720x + 660y = 3315

720x + 1152y = 4176

Subtracting, it becomes

- 492y = - 861

y = - 861/ - 492

y = 1.75

Substituting y = 1.75 into equation 1, it becomes

24x + 22 × 1.75 = 110.5

24x + 38.5 = 110.5

24x = 110.5 - 38.5

24x = 72

x = 72/24

x = 3

a

explanation: