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The concession stand at the high school football stadium sells hot dogs and hamburgers to raise money for the high school athletic programs. Each hot dog sold earns the programs $0.50, and each hamburger sold earns $0.75. This week, the concession stand sold a combination of 230 hot dogs and hamburgers and earned $138.50 for the athletic programs. If x represents the number of hot dogs sold and y represents the number of hamburgers sold, which system of equations represents this situation?

Respuesta :

hannahl52
0.50x+0.75x=138.50

hd+hb=230

These are the system of equations.

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Answer:

Corresponding system of equations is, [tex]x+y=230[/tex] and [tex]0.5x+0.75y=138.5[/tex]

Step-by-step explanation:

Let, the number of hot dogs = x and the number of hamburgers = y

It is given that, the concession sold total 230 hot dogs and hamburgers.

Thus, we have, [tex]x+y=230[/tex].

Also, the price of each hot dog and hamburger are $0.50 and $0.75 each.

Since, the total earnings is $138.50.

We get, [tex]0.5x+0.75y=138.5[/tex]

Thus, the corresponding system of equations is,

[tex]x+y=230[/tex]

[tex]0.5x+0.75y=138.5[/tex]

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