document.write( "Question 1171665: Please help\r
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\n" ); document.write( "\n" ); document.write( "One month Tammy rented 3 movies and 5 video games for a total of $35. The next month she rented 12 movies and 2 video games for a total of $41. Find the rental cost for each movie and each video game.
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Algebra.Com's Answer #796566 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Multiply the first month's rentals by 4 so that the numbers of movies in both months are the same; then compare the two purchases to determine the cost of each video game.

\n" ); document.write( "Then use that cost of a video game in either purchase to determine the cost of a movie.

\n" ); document.write( "Algebraically....

\n" ); document.write( "Given:
\n" ); document.write( "(1) \"3m%2B5v+=+35\"
\n" ); document.write( "(2) \"12m%2B2v+=+41\"

\n" ); document.write( "(3) \"12m%2B20v+=+140\" [(1), multiplied by 4]

\n" ); document.write( "(4) \"18v+=+99\" [the difference between (2) and (3)]

\n" ); document.write( "\"v+=+99%2F18+=+5.5\"

\n" ); document.write( "\"3m%2B5v+=+35\"
\n" ); document.write( "\"3m%2B5%285.5%29+=+35\"
\n" ); document.write( "\"3m%2B27.5+=+35\"
\n" ); document.write( "\"3m+=+7.5\"
\n" ); document.write( "\"m+=+2.5\"

\n" ); document.write( "ANSWERS:
\n" ); document.write( "The cost of renting a movie is m = 2.5 = $2.50
\n" ); document.write( "The cost of renting a video game is v = 5.5 = $5.50

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