Rocket Science

Here is a new puzzle. If you think that you know the answer, please post it in the comments section.

Joe is buying model rockets from a hobby store. He is buying 6 different types of rockets, tiny, small, medium, large, huge and gargantuan. All quantities of rockets bought are positive whole numbers. He buys 2 more large rockets than medium rockets. The number of small rockets he buys is equivalent to the square root of the number of large rockets he buys. The number of tiny rockets he buys is equivalent to the number of large rockets he buys plus the number of small rockets he buys plus twice the number of medium rockets he buys. The number of huge rockets he buys is equivalent to (number of medium rockets he buys + number of tiny rockets he buys + number of small rockets he buys)^0.5. The number of gargantuan rockets he buys equals the number of medium rockets he buys multiplied by the number of huge rockets he buys divided by the number of small rockets he buys minus the number of large rockets he buys. Before tax, tiny rockets cost $9.75 each, small rockets cost $12.50 each, medium rockets cost $15.25 each, large rockets cost $20.00 each, huge rockets $27.20 each and gargantuan rockets cost $36.00 each. There is a sales tax of 8% on each rocket. Joe does not buy more than 300 rockets. How much does he spend on the rockets?

Tetra Terror

Here is a new math puzzler. If you think that you know the answer, please post it in the comments section.

Let x be a number

x=²2+²3+²4+²5+²6+²7+²8+²9+²10+²11+²12+²13+²14+²15

What is the value of x?

Perdido na tradução

In this post is the new math puzzle. If you think that you know the answer, please post it in the comments section. In honor of today being Agricultural Reform Day in Sao Tome and Principe and International Translation Day, parts of this puzzler are written in Portuguese (These parts are underlined).

Joe e Jane estão jogando um jogo chamado duelo cartão. Neste jogo, dois baralhos completos (sem jokers) são embaralhados juntos. The two players then take turns drawing cards off the top of the deck, one at a time. Whoever gets two of the same card first (suit and rank) wins. If Joe goes first, what is his percent chance of winning? Por favor, volta a sua resposta com a aproximação de décimo de milésimo de um por cento.

Eight Bones

Here is todays Puzzler. If you think that you know the answer, please post it in the comments section. This is the final puzzle in the summer competition. It is worth 2 points.

If eight six sided dice are rolled, what is the probability that no two dice will add up to seven? Please give your answer as a percentage and round to the nearest hundredth of a percent.

Gems of Sumia

Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 4 points in the summer competition.

The King of Sumia has 23 gems. Each of these gems has a number, All of the gems are prisms that have bases that are regular polygons. Each gem has its own box. The boxes all have letters on them, A-W. The gem with the greatest volume goes in box A, the one with the next greatest volume goes in box B, and so on. Below is a list of how many sides are on each gems base, how long each side is and how tall each gem is.
Gem 1: 3 sides, 13 side length, 22 height
Gem 2: 4 sides, 15 side length, 8 height
Gem 3: 5 sides, 11 side length, 10 height
Gem 4: 6 sides, 7 side length, 15 height
Gem 5: 7 sides, 14 side length, 15 height
Gem 6: 8 sides, 6 side length, 19 height
Gem 7: 9 sides, 8 side length, 15 height
Gem 8: 10 sides, 8 side length, 9 height
Gem 9: 11 sides, 7 side length, 18 height
Gem 10: 12 sides, 6 side length, 15 height
Gem 11: 13 sides, 6 side length, 13 height
Gem 12: 14 sides, 6 side length, 9 height
Gem 13: 15 sides, 9 side length, 11 height
Gem 14: 16 sides, 5 side length, 4 height
Gem 15: 17 sides, 3 side length, 10 height
Gem 16: 18 sides, 6 side length, 6 height
Gem 17: 19 sides, 5 side length, 10 height
Gem 18: 20 sides, 3 side length, 6 height
Gem 19: 21 sides, 4 side length, 3 height
Gem 20: 22 sides, 2 side length, 3 height
Gem 21: 23 sides, 3 side length, 2 height
Gem 22: 24 sides, 3 side length, 6 height
Gem 23: 25 sides, 2 side length, 4 height
Which gem goes in each box?

The answer will be posted on Monday or when somebody posts an answer in the comments section.

Fun with Factors

Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.

What is the sum of the non-semiprime numbers on the list below minus the number on the list below that has the most distinct prime factors?

36064, 14101, 60303, 99362, 11287, 97462, 73941, 92428, 65799, 53422, 13276, 37968, 45785, 37112, 50485, 51963, 29444, 41506, 16199, 60497, 57592, 91774, 63447, 43749.

The answer will be posted when somebody posts an answer.

Der Sequenz Wieder Answer

Contained within this post is the answer to the puzzle posted on June 6th. One answer was posted. If the answer is correct, the poster gets 3 points. If not, the points go unclaimed. The answer is after the jump.

Package Stackage

Here is todays puzzle. If you think that you know the answer, please post your guess in the comments section. This puzzle is worth 2 points in the Summer Competition.

At the Cremliville Post Office, there are 2 stacks of rectangular packages with square bases. Stack A has 18 packages. The bottom one is 18 inches long and 1 inch high. Each package in stack A is 1 inch less in length and 2 inches more in height than the one below it. Stack B has 22 packages. The bottom one is 22 inches long and 1 inch high. Each package in stack B is 1 inch less in length and 1 inches more in height than the one below it. Which stack has the larger average package size and what percent greater is the larger average package size than the smaller average package size? Please round your answer to the nearest hundredth of a percent.

The answer will be posted when an answer is posted in the comments section.