### Brain Teasers

# Losing Weight Drastically !

Fun: (2.17)
Difficulty: (2.22)
Puzzle ID: #19079

Submitted By: lesternoronha1 Corrected By: MarcM1098

Submitted By: lesternoronha1 Corrected By: MarcM1098

An astronaut, who stays on the moon for 1 to 2 months, loses between 1 and 10 kg. If the stay is for 3 to 5 months, the loss of weight is between 11 and 20 kg. If the stay is for 6 to 12 months, the loss is between 21 and 30 kg. A group of astronauts who stayed on the moon and returned, lost 105 kg. If they stayed for exactly 122 days on the moon, what could be the range of the number of astronauts in the team?

### Answer

The number of astronauts in the team must be from 6 to 9.It is given that

1) If the stay on the moon is for 1 to 2 months, the astronaut loses between 1 and 10 kg.

2) If the stay on the moon is for 3 to 5 months, the astronaut loses between 11 and 20 kg.

3) If the stay on the moon is for 6 to 12 months, the astronaut loses between 21 and 30 kg.

The astronauts stayed on the moon for 122 days, i.e. approximately 4 months. The total loss of weight is given to be 105 kg.

It is given that if the astronauts stay on the moon 3 to 5 months, each astronaut loses between 11 and 20 kg.

Assuming that each astronaut lost the minimum possible weight in 4 months i.e., 11 kg, the maximum number of astronauts would be 9 (since 9*11 gives 99 which is less than 105. The maximum number cannot be 10 since even if they had lost the minimum weight, they would have lost 110 kg, which is more than the given 105 kg).

If they had lost the maximum possible weight i.e., 20 kg, then the minimum number of astronauts would be 6 (since 6*20 gives 120 which is greater than 105. The minimum number cannot be 5 since even if they had lost the maximum weight, they would have lost 100 kg which is less than the given 105 kg).

Hence the range of the astronauts that stayed on the moon must be between 6 and 9.

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!