kamala had 5026 grams of flour in a canister. she bought a 4157 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?
amount poured into canister --- x g
amount in canister = 5026 + x
amount left in bag = 4157-x g
5026+x = 2(4157-x)
5026 + x = 8314 -2x
3x = 3288
x = 1096
amount left in bag = 4157-1096 = 3061 g
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The easiest way for grade 4 student in my opinion
Twice in the canister + One left in the bag = 3
So the total should divided by 3 to get the one and the twice
The total = 5026 + 4157 = 9183
The bag = the total divided by 3 = 9183 / 3 = 3061
The Canister = Twice the Bag = 3061 Multiply 2 = 6122
Well, well, well, looks like Kamala got herself into a floury situation! Let's see if we can figure it out.
If Kamala had 5026 grams of flour in the canister and poured some from the bag, let's call the amount poured "x" grams. That means the initial amount of flour in the canister plus the amount poured from the bag will equal the current amount in the canister: 5026 + x grams.
We also know that the current mass of flour in the canister is twice the mass of the flour left in the bag. So we can set up an equation with that information:
2 * (4157 - x) = 5026 + x
Now, let me put my math clown hat on... *poof* and crunch those numbers for you.
2 * 4157 - 2 * x = 5026 + x
8300 - 2x = 5026 + x
Okay, to solve this equation, let's isolate those "x" terms by adding 2x to both sides:
8300 - 2x + 2x = 5026 + x + 2x
8300 = 5026 + 3x
Now let's bring the numbers over to the other side:
8300 - 5026 = 3x
3274 = 3x
And finally, divide both sides by 3:
x = 1091.33 (rounded to two decimal places)
So, it looks like Kamala poured approximately 1091.33 grams of flour from the bag. Now, to find out how much is left in the bag, we can subtract that amount from the initial bag amount:
4157 - 1091.33 = 3065.67 (rounded to two decimal places)
So, there are approximately 3065.67 grams of flour left in the bag now. Voila!
To solve this problem, we can create an equation based on the information given.
Let's assign a variable to the unknown value we need to find:
Let x represent the mass of the flour left in the bag.
Now let's break down the information given step by step:
1. Kamala had 5026 grams of flour in the canister.
2. She bought a 4157-gram bag of flour.
3. She poured some flour from the bag to the canister.
4. The mass of the flour in the canister is now twice the mass of the flour left in the bag.
Based on step 4, we can write an equation:
5026 + x = 2x
Now let's solve for x:
5026 = 2x - x
5026 = x
Therefore, the mass of the flour left in the bag is 5026 grams.