You are running a concession stand selling hot dogs and sodas. Each hot dog costs $2 and each soda costs $1. At the end of the night, you made a total of $105. You sold a total of 90 hot dogs and sodas combined If x is the number of hot dogs that were sold and y is the number of sodas that were sold, write a system of equations that models this situation.

see the explanation

The number of hot dogs that were sold is 15 and the the number of sodas that were sold is 75

Step-by-step explanation:

Let

x ---> the number of hot dogs that were sold

y ---> is the number of sodas that were sold

we know that

You sold a total of 90 hot dogs and sodas combined

so

----> equation A

You made a total of $105

so

isolate the variable y

----> equation B

substitute equation B in equation A

solve for x

Find the value of y (equation B)

therefore

The number of hot dogs that were sold is 15 and the the number of sodas that were sold is 75