Question

the problem is kamala had 5,026 grams  flour in a canister.she brought a 4,158 gram bag of flour.she poured some flour from the bag to the canister.as the results the mass of the flour in the canisteris now twice the mass of the flour left in the bag.how much flour is in the bag now?

Answer 1

Hello, 

x= amount of flour that she poured in the canister

there was 5,026 grams of flour, and now: 5,026+x

In the bag there was 4,158, now: 4,158

I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

$5,026+x=2*(4,158-x) \\ 5,026+x=8,316-2x \\ 3x=8,316-5,026 \\ 3x=3,290 \\ x=1,096.67$

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:

$4,158g-1,096.67=\boxed{3,061.33}$

Answer: there is 3,061.33 grams of flour in the bag