Three friends went to the fair. michelle ate three hot dogs, one pretzel, and two snow cones. she spent $25. amanda ate two hot dogs, three pretzels, and three snow cones. she spent $30. lucas ate two hot dogs, two pretzels, and four snow cones. he spent $25. which system of equations matches the friends' night at the fair?
2x + y + 3z = 25
2x + 3y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
2x + 3y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
3x + 2y + 3z = 30
2x + 2y + 4z = 25
3x + y + 2z = 25
2x + 3y + 3z = 30
2x + 4y + 2z = 25

b.

Step-by-step explanation:

We are given that three friends went to fair

Let cost of hot dog=x

Cost of pretzel=y

Cost of snow cone=z

Michelle ate 3 hot dog,one pretzel and two snow cones and spent $25.

Therefore, according to question the equation is

Step-by-step explanation:

We are given that three friends went to fair

Let cost of hot dog=x

Cost of pretzel=y

Cost of snow cone=z

Michelle ate 3 hot dog,one pretzel and two snow cones and spent $25.

Therefore, according to question the equation is

Amanda ate two hot dog, three pretzel and three snow cones and spent $30Therefore,the equation is [tex]2x+3y+3z=$30" />

Lucas ate two hot dogs,two pretzel and four snow cones and spent $25.

Therefore, the equation is

Hence, option b is true.

the answer to the question is a  

it has the same slope and the same y-intercept.