Question

Need help ASAP please

Answer 1

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

Step-by-step 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