document.write( "Question 686642: hi umm i have this question on my homework and it says (yesterday, a movie theater sold 282 bags of popcorn. a large bag of popcorn cost $4 a small bag cost $1. in all the movie theater made $501 from popcorn sales. write and solve a system of equation to find how many bags of each size of popcorn were sold?) so i have \"x%2By=282\" subtracted by \"4x%2By=501\" and i got \"-3x=381\" and got x=127 and to fined y i got\"127%2By=272\" and i got they y= 65 and to check it i got \"4%28127%29%2B1%2865%29=573\" so i don't know what i did wrong and if you can help me that would be great thank you! \n" ); document.write( "
Algebra.Com's Answer #424865 by Alan3354(69443)\"\" \"About 
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a movie theater sold 282 bags of popcorn. a large bag of popcorn cost $4 a small bag cost $1. in all the movie theater made $501 from popcorn sales. write and solve a system of equation to find how many bags of each size of popcorn were sold?) so i have
\n" ); document.write( "\"x%2By=282\" subtracted by
\n" ); document.write( "\"4x%2By=501\"
\n" ); document.write( "----------------- Subtract
\n" ); document.write( "-3x = -219
\n" ); document.write( "-----------
\n" ); document.write( "381 is not right, and both sides are negative.
\n" ); document.write( "x = 73
\n" ); document.write( "============
\n" ); document.write( "You were doing the right thing, but you made some mistakes.
\n" ); document.write( "------------
\n" ); document.write( "y = 219
\n" ); document.write( "==================
\n" ); document.write( "and i got \"-3x=381\" and got x=127 and to fined y i got\"127%2By=272\" and i got they y= 65 and to check it i got \"4%28127%29%2B1%2865%29=573\"
\n" ); document.write( "==================
\n" ); document.write( "---------------
\n" ); document.write( "n = # of $1 bags
\n" ); document.write( "f = # of $4 bags
\n" ); document.write( "-----
\n" ); document.write( "n + f = 282
\n" ); document.write( "n + 4f = 501
\n" ); document.write( "--------------- subtract
\n" ); document.write( "-3f = -219
\n" ); document.write( "f = 73 bags at $4
\n" ); document.write( "n = 219 bags at $1\r
\n" ); document.write( "
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