You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.

Question

Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.

100-40=1x+2?
Help is appreciated

Answer 1

Points still needed + your 40 = 100
2m + 40 = 100

your equation would have a solution of x = 58
You could have seen immediately that this would not be right.

Answer 2

your answer doens make sense to me, I know that I have 40 points which means I have been to 20 movies. I have to get 60 more points to get to 100. so I can go to a free movie. 60 points= 30 movies. I have already watched 20 movies. 30+20=50 movies i have to watch. now I have to figure out an equation. The equation part is what I am stuck on.
Im at 8th grade level maybe you are a tutor for older people than me. (8thgrader)

Answer 3

His answer is correct and your thinking is correct.

You saw 20 movies and have 40 points

You need to see ? number of movies to get the other 60 points.
You know that is 30 movies...

For the equation... put in 40 + 2(?) = 100

or in algebra: 40 + 2x = 100

if x = 30 then you will have your 40 points plus 60 points

and you have seen 50 movies. Hope this helps.

Answer 4

it helps a little tahnk you, but somthing im still confused on is if i were to put m like it says in the problem and solve I dont get 50 or 30 as m

Answer 5

40+2m=100
40-40+2m=100-40
2m=60
2m/2=60/2
m=30
omg thanks so much john you helped alot i guess i just had to re-do and type out the equation a couple of times...

Answer 6

You are welcome.