Mrs. Neo has two packets of flour. The ratio of the mass of flour in Packet A to the mass of flour in Packet B is 1:2. Mrs. Neo uses ⅓ of the flour in Packet A and has 800 grams left altogether. How much flour is there in Packet B?
SOLUTION:
- RATIO of FLOUR A to B is 1:2
[3A/3 - 1/3] + 2A = 800 Grams
2A/3 + 2A = 800 Grams
2A/3 + 6A/3 = 800 Grams
8A/3 = 800 Grams
8A = 2400 Grams
A = 300 Grams
B = 2 (A)
B = 2 (300)
B = 600 Grams
The Correct Answer is 600g for PACKET B
To solve this problem, we need to follow a systematic approach:
Step 1: Understand the given information.
We are given that Mrs. Neo has two packets of flour. The ratio of the mass of flour in Packet A to the mass of flour in Packet B is 1:2. Additionally, Mrs. Neo uses ⅓ of the flour in Packet A and has 800 grams left altogether.
Step 2: Set up the equation.
Let's assume the mass of flour in Packet A is "x" grams. According to the given ratio, the mass of flour in Packet B will be twice the mass of Packet A, so it will be 2x grams.
Step 3: Calculate the amount of flour used from Packet A.
Mrs. Neo uses ⅓ of the flour in Packet A, which is (1/3)*x = x/3 grams.
Step 4: Calculate the amount of flour remaining in Packet A.
The remaining amount of flour in Packet A after use is x - x/3 = 2x/3 grams.
Step 5: Calculate the amount of flour remaining overall.
We are given that Mrs. Neo has 800 grams of flour remaining altogether, so:
2x/3 + 2x = 800
Step 6: Solve the equation.
Multiplying the equation by 3 to clear the fraction gives:
2x + 6x = 2400
8x = 2400
Dividing both sides by 8 gives:
x = 300
Step 7: Calculate the amount of flour in Packet B.
Since the mass of flour in Packet B is twice the mass of Packet A, the amount in Packet B is 2x = 2*300 = 600 grams.
Therefore, there is 600 grams of flour in Packet B.
Well, if we're talking about packets of flour, I guess that makes Mrs. Neo a real flour power! Now, to solve the problem. Let's give Packet A a funny name like Fred and Packet B a name like Bob. So, according to the ratio, if Fred has 1 part of flour, then Bob must have 2 parts of flour.
Now, Mrs. Neo uses ⅓ of Fred's flour, which means 2 parts of Bob's flour are equal to the remaining ⅔ of Fred's flour. So, if we take ⅔ of Fred, or 800 grams, then Bob must have 2 times that amount. Can you figure out how much flour is in Packet B now?
2/3 A = 800
A = 1200
A:B = 1:2 = 1200:2400