Mathematics
zoewhite1
21

One month Henry rented 3 movies and 8 video games for a total of $58 . The next month he rented 5 movies and 2 video games for a total of $23 . Find the rental cost for each movie and each video game. Rental cost for eachmovie:$___ Rental costfor each video game:$____

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(1) Answers
Sofolofo

Henry rented 3 movies and 8 video games for a total of $58 3m + 8v= $58 The next month he rented 5 movies and 2 video games for a total of $23. 5m + 2v = $23. Grab an equation and solve it for one of the variables: 3m + 8v= $58 3m=58-8v m=19.333-2.6666v Then sub that result in for the variable in the other equation: 5(19.333-2.666666v )+ 2v = $23. 96.666 - 13.333v + 2v = $23. 96.666 - 11.333v = $23. -11.333v = $23-96.666 -11.333v = -73.666 v=6.50 Now sub back in v in one of the equations: 5m + 2v = $23. 5m + 2(6.50) = $23. 5m+13 = 23 5m=10 m=2 The video games cost $6.50 and the Movies cost $2.00. 3($2.00) + 8($6.50) = $58 5($2.00) + 2($6.50) = $23.

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