how much flour is left in the bag?

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 left in the bag?

Answer 1

x=# of grams poured in (out)

5026+x=2(4157-x)

5026+x=8314-2x

x+2x=8314-5026

3x=3288

x=3288/3

x=1096 grams poured in (out)

4157-1096=3061 grams left in the bag

Answer 2

Hi Tanya,

 

Let x = number of grams of flour poured from the bag into the canister

 

5026 + x = 2(4157 - x)   (canister is twice the mass of the flour left in the bag

 

5026 + x = 8314 - 2x

 

3x = 8314 - 5026

 

3x = 3288

 

x = 1096   (this tells us how much was poured from the bag

 

the amount left equals the original amount 4157 -x

 

You can figure that out

 

Hope this helps