SOLUTION: 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 th

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 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 th      Log On

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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 got127%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!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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
----------------- Subtract
-3x = -219
-----------
381 is not right, and both sides are negative.
x = 73
============
You were doing the right thing, but you made some mistakes.
------------
y = 219
==================
and i got -3x=381 and got x=127 and to fined y i got127%2By=272 and i got they y= 65 and to check it i got 4%28127%29%2B1%2865%29=573
==================
---------------
n = # of $1 bags
f = # of $4 bags
-----
n + f = 282
n + 4f = 501
--------------- subtract
-3f = -219
f = 73 bags at $4
n = 219 bags at $1