To solve this problem, we need to set up two equations based on the information given and then solve for the variables.

Let's denote the mass of the bag as B (in kg) and the mass of one lime as L (in kg).

From the problem, we know that:

1) B + 25L = 8.72 (This is because the bag with 25 limes has a mass of 8.72 kg)

2) B + 18L = 6.55 (This is because the bag with 18 limes has a mass of 6.55 kg)

We can solve these two equations simultaneously to find the values of B and L.

First, subtract the second equation from the first to get:

25L - 18L = 8.72 - 6.55
7L = 2.17
L = 2.17 / 7
L = 0.31 kg (This is the mass of one lime)

Now, substitute L = 0.31 into the first equation to find B:

B + 25*0.31 = 8.72
B + 7.75 = 8.72
B = 8.72 - 7.75
B = 0.97 kg

So, the mass of the bag when it is empty is 0.97 kg.

To convert this to grams (since the question asks for the answer in grams), we know that 1 kg = 1000 g.

Therefore, B = 0.97 kg = 0.97 * 1000 g = 970 g.

So, the mass of the bag when it is empty is 970 grams.

Question

To solve this problem, we need to set up two equations based on the information given and then solve for the variables.

Let's denote the mass of the bag as B (in kg) and the mass of one lime as L (in kg).

From the problem, we know that:

1) B + 25L = 8.72 (This is because the bag with 25 limes has a mass of 8.72 kg)

2) B + 18L = 6.55 (This is because the bag with 18 limes has a mass of 6.55 kg)

We can solve these two equations simultaneously to find the values of B and L.

First, subtract the second equation from the first to get:

25L - 18L = 8.72 - 6.55
7L = 2.17
L = 2.17 / 7
L = 0.31 kg (This is the mass of one lime)

Now, substitute L = 0.31 into the first equation to find B:

B + 25*0.31 = 8.72
B + 7.75 = 8.72
B = 8.72 - 7.75
B = 0.97 kg

So, the mass of the bag when it is empty is 0.97 kg.

To convert this to grams (since the question asks for the answer in grams), we know that 1 kg = 1000 g.

Therefore, B = 0.97 kg = 0.97 * 1000 g = 970 g.

So, the mass of the bag when it is empty is 970 grams.

Knowee AI · Accepted Answer