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August 29, 2014

August 29, 2014

Posted by **Marie** on Thursday, January 17, 2013 at 3:58am.

* A bus having a seating capacity of 45 people is 80% occupied. When the bus stops one -third of the people get off and 3 people get on the bus. The bus is now______ % occupied?

* If x-1 is a prime number greater than 3, which of the following could be a prime number?

a)x^2 b)x c)x-2 d)x+1 e)x+2

- Math -
**Reiny**, Thursday, January 17, 2013 at 9:51am1. To be odd, it must end in an odd number, so the number of possible odds is

4x3x3 = 36

2. number of people on bus = .8(45) = 36

1/3 or 12 leave leaving 24, now 3 get on

number of people on bus = 15

percentage: 15/45 = 1/3 or 33 1/3 %

3. consider each choice:

--x^2: clearly any square is not prime

--x : since the original x-1 is a prime greater than 3, it must clearly be odd, so x must be even, thus not a prime

-- x+1: mmmmhhh, suppose x-1 = 11, then

x+1 = 13 ,which is prime

as a matter of fact , there would be many such choices and they would fall under the category of "twin Primes", that is, they are 2 units apart.

e.g. of other twin primes: 17,19 or 59,61

**so x+1 is a possibility**, which of course rules out x+2 , since it would be even.

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