One month rita rented 5 movies and 2 video games for a total of $26 . The next month she rented 3 movies and 8 video games for a
total of $53 . Find the rental cost for each movie and each video game.
1 answer:
<h3>Given</h3>
- 5 movies and 2 video games rent for $26
- 3 movies and 8 video games rent for $53
<h3>Find</h3>
<h3>Solution</h3>
Let m and v represent the rental cost of a movie and a video game, respectively. The given information can be expressed in two equations:
... 5m +2v = 26
... 3m +8v = 53
Using Cramer's rule, we can find the solution to be
... m = (2·53 -8·26)/(2·3-8·5) = -102/-34 = 3
... v = (26·3-53·5)/-34 = 5.50
The rental cost for each movie is $3; for each video game is $5.50.
_____
The Vedic math variation of Cramer's Rule tells you the solution to
is ...
- x=(bf-ec)/(bd-ea)
- y=(cd-fa)/(bd-ea)
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