Maryo R.
asked • 08/26/20college algebra
One month Keiko rented 2 movies and 3 video games for a total of $19.00 . The next month she rented 4 movies and 8 video games for a total of $ 49.00 . Find the rental cost for each movie and each video game.
rented cost for each movie
rented cost for each video game
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1 Expert Answer
Amy D. answered • 08/27/20
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Cost to rent movies $1.25
Cost to rent video games $5.50
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Tammie A.
One month Keiko rented 2 movies and 3 video games for a total of $19.00. The next month she rented 4 movies and 8 video games for a total of $ 49.00 . Find the rental cost for each movie and each video game. Let's put movies as M, and video games as V. Luckily, this question allows us to put both in standard ABC form: 2m + 3v = 19 4m + 8v = 49 First, let's solve for V, by getting the equations to cancel out. (-2)2m + (-2)3v = (-2)19 4m + 8v = 49 -4m - 6v = -38 +4m + 8v = 49 2v = 11 v = 11/2 or 5.5 Plug 5.5 into our equation to solve for M. 2m + 3(5.5) = 19 2m + 16.5 = 19 2m = 2.5 m = 2.5/2 or 1.25 m = 1.25 v = 5.508/26/20