Question

Kamala had 5,026 grams of flour in a canister. She bought a 4,157 gram bag of flour. She poured some flour from the bag to the canister. As a result, the mass of the flour in the canister is now twice the mass of the flour left in the bag. How much flour is in the bag now?

Answer 1

Mass of flour left in the bag =
`3061\ grams\\`

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 =
`x \ \ grams`

New mass of flour in canister =
`(5,026+x) \ \ grams`

Mass of flour left in bag =
`(4,157-x)/ / grams`

New mass of flour in canister is twice the mass of flour left in bag

`\therefore \ \ 5026+x=2(4157-x)\\`

Using distribution.

`\\5026+x=8314-2x\\`

Adding both sides with
`2x`.

`\\5026+x+2x=8314-2x+2x\\5026+3x=8314\\`

Subtracting both sides with
`5026.\\`

`5026-5026+3x=8314-5026\\3x=3288\\`

Dividing both sides by
`3.\\`

`(3)/(3) x=(3288)/(3) \\x=1096\ grams\\`

Mass of flour poured in the canister =
`1096\ grams`

Mass of flour left in the bag =
`4,157-1096= 3061\ grams\\`