# Weight Vs. Mass or Great Gravities!

#### Difficulty: Medium

The table below tells you the weight & mass of selected female characters of the cartoon series; however, some of the information is missing! Can you use some of the information printed here to figure out the missing information?

Character's Appearance | Character's Name | Earth Weight | Photonis Weight | Mass |
---|

| Susan | 105 lbs. | 35 lbs. | ? |

| Sally | 130 lbs. | ? | 59.090909 kg. |

| Candy | 125 lbs. | 41.6666667 lbs. | ? |

| Goldilocks | 118 lbs. | ? | 53.636363 kg. |

| Alice | ? | 36.6666667 lbs. | 50 kg. |

| Michelle | ? | ? | 63.636363 kg. |

| Dottie | ? | 50 lbs. | ? |

| Patience | 123 lbs. | ? | ? |

| Penny | 90 lbs. | 30 lbs. | ? |

(Characters weren't drawn to scale)

### You must know this formula to solve this puzzle:

## Weight = mass × gravity

The gravity of the planet Earth is *2.2 pounds/kilogram* since 1 kilogram of mass weighs 2.2 pounds on Earth. Photonis is 1/3 the size of Earth, so its gravity is 1/3 as strong. In other words, Photonis' gravity is **.7333333 pounds/kilogram.** (Yes, it's a recurring decimal!) Gravity itself can also be measured in a *weight-to-mass ratio,* which I made up. The weight-to-mass ratio of Earth's gravity is **11:5**; The weight-to-mass ratio of Photonis' gravity is **11:15**, which is 1/3 as much.

That should be enough information for you to solve the puzzle. Just multiply a character's mass by the weight-to-mass ratio of Earth's or Photonis' gravity to find out how much she weighs on either planet! If the mass is unknown, divide her weight by the weight-to-mass ratio of a planet's gravity.

You could print the correct answers in fractions, but let's stick with decimals for this puzzle; feel free to use a calculator if necessary!

Give up? Click here for the answer!

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© Derek Cumberbatch