Question

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?

Answer 1

0.50x+0.75x=138.50

hd+hb=230

These are the system of equations.

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Answer 2

Answer:

Corresponding system of equations is, $x+y=230$ and $0.5x+0.75y=138.5$

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, $x+y=230$.

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, $0.5x+0.75y=138.5$

Thus, the corresponding system of equations is,

$x+y=230$

$0.5x+0.75y=138.5$