Luis spent $55 buying songs and movies at an online store that charges $1.25 for each song and 2.75 for each movie. He purchased a total of 26 songs and movies combined. Determine how many songs and how many movies Luis purchased, using either and algebraic or graphical approach.PLEASE HELP

Alright, lets get started.Suppose Luis purchased number of songs = x Suppose Luis purchased number of movies = ystore that charges $ 1.25 for each song and $ 2.75 for each movie.Means his total spent will be :[tex] 1.25 x + 2.75 y = 55 [/tex] ..................................equation (1)He purchased a total of 26 songs and movies combined means:[tex] x+y = 26 [/tex][tex] x = 26 - y [/tex]Plugging the value of x in equation (1)[tex] 1.25 (26-y) + 2.75 y = 55 [/tex][tex] 32.5 - 1.25 y + 2.75 y = 55 [/tex][tex] 1.5 y + 32.5 = 55 [/tex]Subtracting 32.5 from both sides[tex] 1.5 y + 32.5 - 32.5 = 55 - 32.5 [/tex][tex] 1.5 y = 22.5 [/tex][tex] y = 15 [/tex]As we know, [tex] x = 26 - y [/tex]Hence [tex] x = 26 - 15 = 11 [/tex]It means Luis puchased 11 songs and 15 movies. : AnswerHope it will help :)