Question 686642
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+y=282}}} subtracted by 
{{{4x+y=501}}} 
----------------- Subtract
-3x = -219
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381 is not right, and both sides are negative.
x = 73
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You were doing the right thing, but you made some mistakes.
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y = 219
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and i got {{{-3x=381}}} and got x=127 and to fined y i got{{{127+y=272}}} and i got they y= 65 and to check it i got {{{4(127)+1(65)=573}}}
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n = # of $1 bags
f = # of $4 bags
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n + f = 282
n + 4f = 501
---------------  subtract
-3f = -219
f = 73 bags at $4
n = 219 bags at $1