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we're told farrah watched two different tv shows last week tv show a has 11 minute episodes and tv show b has 43 minute episodes together she spent 196 minutes watching tv shows which equation models this relationship where lowercase a is the number of tv show a episodes and lowercase b is the number of tv show b episodes far watched so pause this video and have a go at it on your own before we work through this together all right now let's do this together so we know that together she spent 196 minutes watching tv shows so we want to do is total the amount of time she spent watching tv show a the amount of time she spent watching tv show b and then that should be equal to 196. and so actually let me just do tv show a in this orange color how much time did she spend watching tv show a well we know that each episode of tv show a is 11 minutes so it's going to be 11 minutes times the number of episodes and they say that lowercase a is the number of tv show a episodes so this right over here 11a is how much time she spent watching tv show a and what about tv show b well each episode is 43 minutes so it's going to be 43 minutes per episode and how many episodes are there of tv show b well it's lowercase b is the number of tv show b episodes so 43 minutes per episode times lowercase b episodes that's how much time she spent watching tv show b so if you add the amount of time she watched tv show a to the amount of time she spent watching tv show b that will be her total time and we know that that needs to be equal to 196 and so let's see which of these choices have it that's not that one let's see this one is it exactly what we got this is different and this is different and we're done