Respuesta :
Answer:
Mass of flour left in the bag = [tex] 3061\ grams\\[/tex]
Step-by-step explanation:
Given data:
Mass of flour in a canister= 5,026 grams
Mass of flour in the bag = 4,157 grams
Let the mass poured from the bag to the canister = [tex]x \ \ grams[/tex]
New mass of flour in canister = [tex](5,026+x) \ \ grams[/tex]
Mass of flour left in bag = [tex](4,157-x)/ / grams[/tex]
New mass of flour in canister is twice the mass of flour left in bag
[tex]\therefore \ \ 5026+x=2(4157-x)\\[/tex]
Using distribution.
[tex]\\5026+x=8314-2x\\[/tex]
Adding both sides with [tex]2x[/tex].
[tex]\\5026+x+2x=8314-2x+2x\\5026+3x=8314\\[/tex]
Subtracting both sides with [tex]5026.\\[/tex]
[tex]5026-5026+3x=8314-5026\\3x=3288\\[/tex]
Dividing both sides by [tex]3.\\[/tex]
[tex]\frac{3}{3} x=\frac{3288}{3} \\x=1096\ grams\\[/tex]
Mass of flour poured in the canister = [tex]1096\ grams[/tex]
Mass of flour left in the bag = [tex]4,157-1096= 3061\ grams\\[/tex]
