Sure, let's solve this step by step:

Step 1: First, we need to find the mass of a single grapefruit. We can do this by subtracting the mass of the bag with 18 grapefruits from the mass of the bag with 24 grapefruits.

7.45 kg - 5.65 kg = 1.8 kg

This is the mass of 6 grapefruits (24 grapefruits - 18 grapefruits = 6 grapefruits), because the only difference between the two bags is the number of grapefruits.

Step 2: Now, we find the mass of a single grapefruit by dividing the total mass of the 6 grapefruits by 6.

1.8 kg / 6 = 0.3 kg

So, each grapefruit has a mass of 0.3 kg.

Step 3: To find the mass of the empty bag, we subtract the total mass of the grapefruits in the bag from the total mass of the bag with grapefruits. We can use either of the two given situations for this. Let's use the bag with 18 grapefruits.

The total mass of 18 grapefruits is 18 * 0.3 kg = 5.4 kg.

So, the mass of the empty bag is 5.65 kg - 5.4 kg = 0.25 kg.

Step 4: Finally, we convert this mass into grams. Since 1 kg = 1000 g,

0.25 kg = 0.25 * 1000 g = 250 g.

So, the mass of the bag when it is empty is 250 grams.

Question

Sure, let's solve this step by step:

Step 1: First, we need to find the mass of a single grapefruit. We can do this by subtracting the mass of the bag with 18 grapefruits from the mass of the bag with 24 grapefruits.

7.45 kg - 5.65 kg = 1.8 kg

This is the mass of 6 grapefruits (24 grapefruits - 18 grapefruits = 6 grapefruits), because the only difference between the two bags is the number of grapefruits.

Step 2: Now, we find the mass of a single grapefruit by dividing the total mass of the 6 grapefruits by 6.

1.8 kg / 6 = 0.3 kg

So, each grapefruit has a mass of 0.3 kg.

Step 3: To find the mass of the empty bag, we subtract the total mass of the grapefruits in the bag from the total mass of the bag with grapefruits. We can use either of the two given situations for this. Let's use the bag with 18 grapefruits.

The total mass of 18 grapefruits is 18 * 0.3 kg = 5.4 kg.

So, the mass of the empty bag is 5.65 kg - 5.4 kg = 0.25 kg.

Step 4: Finally, we convert this mass into grams. Since 1 kg = 1000 g,

0.25 kg = 0.25 * 1000 g = 250 g.

So, the mass of the bag when it is empty is 250 grams.

Knowee AI · Accepted Answer