Answer:rental cost for each movie =$3.75 and for video games = $5.5
Step-by-step explanation:
Step 1 Let the cost of movie = x
and cost of video game = y
Cost at Ist Month for 6 movies and 5 video games for a total of $50 will be
6x+ 5y= $50------- Equation 1
Cost at 2nd Month for 2 movies and 3 video games for a total of $24 will be
2x+ 3y= $24-------- Equation 2
Step 2--- Solving
6x+ 5y= $50------- Equation 1
2x+ 3y= $24-------- Equation 2
Multiplying equation 2 by (3)
6x+ 5y= $50------- Equation 1
6x+ 9y= $72--------Equaton 3
subtracting equation 1 from equation 3
9y-5y=22
4y= 22
y=22/4= 5.5
Putting the value of y = 5.5 in equation 1
6x+ 5y= $50
6x + 5(5.5)= $50
6x =50-27.5
6x=22.5
x=22.5/6
x =3.75
Therefore rental cost for each movie =$3.75 and for video games = $5.5
