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At a baseball game, Carlton buys 2 hotdogs and 1 box of popcorn for $6.75. Manny buys 1 hotdog and 1 box of popcorn for $4.25. how much does one hotdog cost?

Respuesta :

Answer:

1 Hot dog = $2.50; 1 Nacho = $3.00

Step-by-step explanation:

Let  x  be the cost of 1 hotdog

let  y  be the cost of 1 nacho

6 x + 3 y = 24  (Equation 1)

8 x + 1 y = 23  (Equation 2)

Divide equation 1 by 3

2 x + y = 8   (Equation 3)

Subtract Equation 3 from Equation 2

8 x − 2 x +y − y = 23 − 8

Simplifying

6 x = 15

1 Hot dog = $2.50

Substitute the value calculated above into Equation 1

15 + 3 y = 24

3 y = 9

1 Nacho = $3.00