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Grace always brings her own shopping bags to buy fruits. a bag with 68 guavas in it has a mass of 7.55 kg. the same bag with 62 guavas in it has a mass of 6.95 kg. find the mass of the bag when it is empty in grams.

2 Answers

3 votes
The answer is 0.11 kg. Step by Step : 7.55 divided by 68 is 0.112 and 6.95 divided by 62 is 0.111. When you average you get 0.11.
User Waley Chen
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To solve the problem, we can use the following steps:

Determine the difference in mass between the two bags with different numbers of guavas:

Mass of bag with 68 guavas = 7.55 kg Mass of bag with 62 guavas = 6.95 kg Difference in mass = 7.55 kg - 6.95 kg = 0.6 kg

Determine the mass of the 6 extra guavas:

Mass of 6 guavas = ? We can assume that the mass of each guava is roughly the same, so the mass of 6 guavas is proportional to the difference in mass between the two bags:

Difference in mass = 0.6 kg Mass of 6 guavas / 6 = 0.6 kg / 6 Mass of 6 guavas = 0.1 kg

Subtract the mass of the 6 extra guavas from the mass difference to get the mass of the bag:

Mass of bag with no guavas = ? Mass of bag with 68 guavas - mass of bag with 62 guavas = Mass of 6 extra guavas + Mass of bag with no guavas 0.6 kg - 0.1 kg = Mass of bag with no guavas Mass of bag with no guavas = 0.5 kg

Convert the mass of the bag from kilograms to grams:

Mass of bag with no guavas = 0.5 kg = 500 g

Therefore, the mass of the bag when it is empty is 500 grams.

User Tyrike
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