To solve this problem, we can use a system of linear equations. Let's denote the weight of one bag of flour as F and the weight of one bag of rice as R.

From the problem, we can form two equations:

1) 5F + 4R = 14.5 (This is from Annabelle's purchase)
2) 3F + 2R = 8.5 (This is from Liz's purchase)

We can solve this system of equations step by step:

Step 1: Multiply the second equation by 2 to make the coefficients of R the same in both equations. This gives us: 6F + 4R = 17.

Step 2: Subtract the first equation from the new second equation to eliminate R. This gives us: 6F - 5F = 17 - 14.5, which simplifies to F = 2.5. So, one bag of flour weighs 2.5 kilograms.

Step 3: Substitute F = 2.5 into the first equation: 5*2.5 + 4R = 14.5, which simplifies to 12.5 + 4R = 14.5. Solving for R gives us R = 0.5. So, one bag of rice weighs 0.5 kilograms.

So, the weight of one bag of flour is 2.5 kilograms and the weight of one bag of rice is 0.5 kilograms.

Question

To solve this problem, we can use a system of linear equations. Let's denote the weight of one bag of flour as F and the weight of one bag of rice as R.

From the problem, we can form two equations:

1) 5F + 4R = 14.5 (This is from Annabelle's purchase)
2) 3F + 2R = 8.5 (This is from Liz's purchase)

We can solve this system of equations step by step:

Step 1: Multiply the second equation by 2 to make the coefficients of R the same in both equations. This gives us: 6F + 4R = 17.

Step 2: Subtract the first equation from the new second equation to eliminate R. This gives us: 6F - 5F = 17 - 14.5, which simplifies to F = 2.5. So, one bag of flour weighs 2.5 kilograms.

Step 3: Substitute F = 2.5 into the first equation: 5*2.5 + 4R = 14.5, which simplifies to 12.5 + 4R = 14.5. Solving for R gives us R = 0.5. So, one bag of rice weighs 0.5 kilograms.

So, the weight of one bag of flour is 2.5 kilograms and the weight of one bag of rice is 0.5 kilograms.

Knowee AI · Accepted Answer

To solve this problem, we can use a system of linear equations. Let's denote the weight of one bag of flour as F and the weight of one bag of rice as R.

From the problem, we can form two equations:

1) 5F + 4R = 14.5 (This is from Annabelle's purchase)
2) 3F + 2R = 8.5 (This is from Liz's purchase)

We can solve this system of equations step by step:

Step 1: Multiply the second equation by 2 to make the coefficients of R the same in both equations. This gives us: 6F + 4R = 17.

Step 2: Subtract the first equation from the new second equation to eliminate R. This gives us: 6F - 5F = 17 - 14.5, which simplifies to F = 2.5. So, one bag of flour weighs 2.5 kilograms.

Step 3: Substitute F = 2.5 into the first equation: 5*2.5 + 4R = 14.5, which simplifies to 12.5 + 4R = 14.5. Solving for R gives us R = 0.5. So, one bag of rice weighs 0.5 kilograms.

So, the weight of one bag of flour is 2.5 kilograms and the weight of one bag of rice is 0.5 kilograms.

Annabelle bought 5 bags of flour and 4 bags of rice. The total weight of her bags was 14.5 kilograms.Liz bought 3 bags of flour and 2 bags of rice. The total weight of their bags was 8.5 kilograms.Calculate the weight of one bag of flour and the weight of one bag of rice.

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