SOLUTION: My daughter had a question this evening that is probably very easy but is somehow causing a tremendous amount of stress because I can't seem to figure out the formula to answer it!

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Question 807364: My daughter had a question this evening that is probably very easy but is somehow causing a tremendous amount of stress because I can't seem to figure out the formula to answer it! Here goes...A girl has a canister containing 5026 grams of flour. She buys a bag of flour which contains 4157 grams of flour. She puts some of the flour from the bag into the canister. Thereafter the mass of the flou in the canister is twice the mass of the flour left in the bag. How much flour is left in the bag?
If you can show.me howntonsolve thisnI would be extremely grateful! Thank you in advance!

Found 3 solutions by richwmiller, Alan3354, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
c=5026,
b=4157,
2(b-x)=c+x
b = 4157, c = 5026, x = 1096
b-x=4157-1096

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A girl has a canister containing 5026 grams of flour. She buys a bag of flour which contains 4157 grams of flour. She puts some of the flour from the bag into the canister. Thereafter the mass of the flou in the canister is twice the mass of the flour left in the bag. How much flour is left in the bag?
==========================
The total is 5026 + 4157 = 9183 grams
C = mass in canister
B = mass in bag
---
B + C = 9183
C = 2B
---
B + 2B = 9183
3B = 9183
B = 3061 grams

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Whatever amount of flour you add to
the canister gets subtracted from the
bag
-------------------------------
So, if you end up with +5026+%2B+x+
grams of flour in the canister, then
you must have +4157+-+x+ grams
of flour in the bag
--------------------
You are given that
( grams of flour in canister ) = ( 2x grams of flour in bag )
when you are done
So, now I can say
+5026+%2B+x+=+2%2A%28+4157+-+x+%29+
+5026+%2B+x+=+8314+-+2x+
+3x+=+8314+-+5026+
+3x+=+3288+
+x+=+1096+
---------------
There is +4157+-+x+ flour left in the bag
+4157+-+1096+=+3061+
There is 3,061 grams of flour left in the bag
-----------------
check answer:
+5026+%2B+x+=+5026+%2B+1096+
+5026+%2B+x+=+6122+
and
+4157+-+x+=+4157+-+1096+
+4157+-+x+=+3061+
and
+6122+=+2%2A3061+
+6122+=+6122+
OK