Answer:
x=5.75 ; price of a single popcorn
y=2.25 ; price of a drink
system of equations
2*x+3*y= 18.25
4*x+2*y=27.50
Explanation:
x= price of popcorn
y= price of drink
2*x+3*y= 18.25 ; this is information for Mohamed
4*x+2*y=27.50 ; this is informtion for miguel
solve an equation for y
2y=27.50-4x
y=13.75-2x
substitue into other equation
2*x+3(13.75-2x)=18.25
2*x+41.25-6x=18.25
-4x+41.25=18.25
-4x=-23
x=5.75 ; price of a single popcorn
swap x=5.75 into the other equation
4*5.75+2*y=27.50
2y=4.5
y=2.25 ; price of a drink
put back in to check work
2*5.75+3*2.25
11.5+6.75=18.25