Answer:
Number of hot dogs sold = 56
Number of hamburgers sold = 52
Step-by-step explanation:
Let
Number of hot dogs sold = x
Number of hamburgers sold = y
We can make equation from given equations:
[tex]0.50x+1y=80[/tex] (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )
[tex]x+y=108[/tex] (Together you sold 108 hot dogs and hamburgers.)
Now we cam solve these system of equations to find value of x and y
[tex]0.50x+y=80--eq(1)\\x+y=108--eq(2)[/tex]
Subtract both equations to get value of x:
[tex]0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56[/tex]
We get value of x = 56
Now putting value of x in equation 2 to find value of y
[tex]x+y=108\\56+y=108\\y=108-56\\y=52[/tex]
So, we get y = 52
Therefore,
Number of hot dogs sold = x = 56
Number of hamburgers sold = y = 52
